{"id":121392,"date":"2025-03-20T08:46:19","date_gmt":"2025-03-20T01:46:19","guid":{"rendered":"https:\/\/phongvu.vn\/cong-nghe\/?p=121392"},"modified":"2025-03-20T08:46:22","modified_gmt":"2025-03-20T01:46:22","slug":"dien-tich-hinh-thang","status":"publish","type":"post","link":"https:\/\/phongvu.vn\/cong-nghe\/dien-tich-hinh-thang\/","title":{"rendered":"&#8220;B\u1ecf t\u00fai&#8221; 4 c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang (vu\u00f4ng, c\u00e2n, th\u01b0\u1eddng) k\u00e8m b\u00e0i t\u1eadp chu\u1ea9n nh\u1ea5t 2025"},"content":{"rendered":"\n<p>Di\u1ec7n t\u00edch h\u00ecnh thang l\u00e0 m\u1ed9t trong nh\u1eefng ki\u1ebfn th\u1ee9c quan tr\u1ecdng trong to\u00e1n h\u1ecdc, \u0111\u1eb7c bi\u1ec7t khi gi\u1ea3i b\u00e0i t\u1eadp h\u00ecnh h\u1ecdc. \u0110\u1ec3 gi\u00fap b\u1ea1n n\u1eafm v\u1eefng c\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang m\u1ed9t c\u00e1ch d\u1ec5 d\u00e0ng, b\u00e0i vi\u1ebft n\u00e0y, <a href=\"https:\/\/phongvu.vn\/cong-nghe\/\">Phong V\u0169 Tech News<\/a> s\u1ebd t\u1ed5ng h\u1ee3p 4 c\u00f4ng th\u1ee9c chu\u1ea9n \u00e1p d\u1ee5ng cho h\u00ecnh thang vu\u00f4ng, h\u00ecnh thang c\u00e2n v\u00e0 h\u00ecnh thang th\u01b0\u1eddng. B\u00ean c\u1ea1nh \u0111\u00f3, ch\u00fang t\u00f4i c\u00f2n cung c\u1ea5p c\u00e1c b\u00e0i t\u1eadp minh h\u1ecda chi ti\u1ebft \u0111\u1ec3 b\u1ea1n th\u1ef1c h\u00e0nh v\u00e0 \u00e1p d\u1ee5ng hi\u1ec7u qu\u1ea3 trong n\u0103m 2025.<\/p>\n\n\n\n<ul>\n<li><a href=\"https:\/\/phongvu.vn\/cong-nghe\/cach-tinh-phan-tram-giam-gia\/\">G\u1ee3i \u00fd 3 c\u00e1ch t\u00ednh ph\u1ea7n tr\u0103m gi\u1ea3m gi\u00e1, t\u0103ng gi\u00e1 s\u1ea3n ph\u1ea9m<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/phongvu.vn\/cong-nghe\/cach-tinh-so-ngay-tron-excel-don-gian-nhat\/\">C\u00e1ch t\u00ednh s\u1ed1 ng\u00e0y trong Excel m\u00e0 b\u1ea1n c\u00f3 th\u1ec3 quan t\u00e2m<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/phongvu.vn\/cong-nghe\/cach-tinh-cong-suat-may-lanh\/\">C\u00e1ch t\u00ednh c\u00f4ng su\u1ea5t m\u00e1y l\u1ea1nh theo th\u1ec3 t\u00edch v\u00e0 di\u1ec7n t\u00edch ph\u00f2ng gi\u00fap ti\u1ebft ki\u1ec7m \u0111i\u1ec7n<\/a><\/li>\n<\/ul>\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_55 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title \" >M\u1ee5c l\u1ee5c<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\" role=\"button\"><label for=\"item-6a20c8d194ba1\" ><span class=\"\"><span style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" 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ez-toc-heading-2\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dien-tich-hinh-thang\/#Hinh_thang_la_gi\" title=\"H\u00ecnh thang l\u00e0 g\u00ec?\">H\u00ecnh thang l\u00e0 g\u00ec?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dien-tich-hinh-thang\/#Cac_loai_hinh_thang_thuong_gap\" title=\"C\u00e1c lo\u1ea1i h\u00ecnh thang th\u01b0\u1eddng g\u1eb7p\">C\u00e1c lo\u1ea1i h\u00ecnh thang th\u01b0\u1eddng g\u1eb7p<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dien-tich-hinh-thang\/#Tong_hop_cong_thuc_tinh_dien_tich_hinh_thang_chinh_xac_day_du_nhat\" title=\"T\u1ed5ng h\u1ee3p c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang ch\u00ednh x\u00e1c, \u0111\u1ea7y \u0111\u1ee7 nh\u1ea5t\">T\u1ed5ng h\u1ee3p c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang ch\u00ednh x\u00e1c, \u0111\u1ea7y \u0111\u1ee7 nh\u1ea5t<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dien-tich-hinh-thang\/#Cach_tinh_dien_tich_hinh_thang_thuong\" title=\"C\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang th\u01b0\u1eddng\">C\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang th\u01b0\u1eddng<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dien-tich-hinh-thang\/#Cach_tinh_dien_tich_hinh_thang_vuong\" title=\"C\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang vu\u00f4ng\">C\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang vu\u00f4ng<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dien-tich-hinh-thang\/#Cach_tinh_dien_tich_hinh_thang_can\" title=\"C\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang c\u00e2n\">C\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang c\u00e2n<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dien-tich-hinh-thang\/#Cach_tinh_dien_tich_hinh_thang_vuong_can\" title=\"C\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang vu\u00f4ng c\u00e2n\">C\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang vu\u00f4ng c\u00e2n<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dien-tich-hinh-thang\/#Cac_dang_bai_tap_tinh_dien_tich_hinh_thang\" title=\"C\u00e1c d\u1ea1ng b\u00e0i t\u1eadp t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang\">C\u00e1c d\u1ea1ng b\u00e0i t\u1eadp t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dien-tich-hinh-thang\/#Cach_tinh_dien_tich_hinh_thang_4_canh_khong_bang_nhau\" title=\"C\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang 4 c\u1ea1nh kh\u00f4ng b\u1eb1ng nhau\">C\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang 4 c\u1ea1nh kh\u00f4ng b\u1eb1ng nhau<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dien-tich-hinh-thang\/#Tinh_dien_tich_hinh_thang_khi_biet_4_canh\" title=\"T\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang khi bi\u1ebft 4 c\u1ea1nh\">T\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang khi bi\u1ebft 4 c\u1ea1nh<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dien-tich-hinh-thang\/#Tong_ket\" title=\"T\u1ed5ng k\u1ebft\">T\u1ed5ng k\u1ebft<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Tong_hop_ly_thuyet_ve_hinh_thang_day_du_nhat\"><\/span><strong>T\u1ed5ng h\u1ee3p l\u00fd thuy\u1ebft v\u1ec1 h\u00ecnh thang \u0111\u1ea7y \u0111\u1ee7 nh\u1ea5t<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>H\u00ecnh thang l\u00e0 m\u1ed9t trong nh\u1eefng h\u00ecnh h\u1ecdc c\u01a1 b\u1ea3n th\u01b0\u1eddng g\u1eb7p trong to\u00e1n h\u1ecdc. Vi\u1ec7c hi\u1ec3u r\u00f5 \u0111\u1ecbnh ngh\u0129a, ph\u00e2n lo\u1ea1i v\u00e0 t\u00ednh ch\u1ea5t c\u1ee7a h\u00ecnh thang s\u1ebd gi\u00fap b\u1ea1n d\u1ec5 d\u00e0ng \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang c\u0169ng nh\u01b0 gi\u1ea3i c\u00e1c b\u00e0i to\u00e1n li\u00ean quan. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 t\u1ed5ng h\u1ee3p nh\u1eefng ki\u1ebfn th\u1ee9c quan tr\u1ecdng nh\u1ea5t v\u1ec1 h\u00ecnh:<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"Hinh_thang_la_gi\"><\/span><strong>H\u00ecnh thang l\u00e0 g\u00ec?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-2-1024x640.jpg\" alt=\"H\u00ecnh thang l\u00e0 m\u1ed9t t\u1ee9 gi\u00e1c l\u1ed3i c\u00f3 hai c\u1ea1nh song song\" class=\"wp-image-121393\" width=\"1024\" height=\"640\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-2-1024x640.jpg 1024w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-2-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-2-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-2-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-2-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-2-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-2-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-2-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-2-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-2-1344x840.jpg 1344w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-2.jpg 1440w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" title=\"\"><figcaption class=\"wp-element-caption\">H\u00ecnh thang l\u00e0 m\u1ed9t t\u1ee9 gi\u00e1c l\u1ed3i c\u00f3 hai c\u1ea1nh song song<\/figcaption><\/figure>\n\n\n\n<p>H\u00ecnh thang l\u00e0 m\u1ed9t t\u1ee9 gi\u00e1c c\u00f3 m\u1ed9t c\u1eb7p c\u1ea1nh \u0111\u1ed1i song song, \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 hai \u0111\u00e1y. Hai c\u1ea1nh c\u00f2n l\u1ea1i g\u1ecdi l\u00e0 hai c\u1ea1nh b\u00ean. H\u00ecnh thang c\u00f3 th\u1ec3 c\u00f3 c\u00e1c t\u00ednh ch\u1ea5t \u0111\u1eb7c bi\u1ec7t t\u00f9y thu\u1ed9c v\u00e0o \u0111\u1ed9 d\u00e0i c\u1ea1nh v\u00e0 g\u00f3c c\u1ee7a n\u00f3.<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"Cac_loai_hinh_thang_thuong_gap\"><\/span><strong>C\u00e1c lo\u1ea1i h\u00ecnh thang th\u01b0\u1eddng g\u1eb7p<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-3-1024x640.jpg\" alt=\"C\u00f3 3 lo\u1ea1i h\u00ecnh thang \" class=\"wp-image-121394\" width=\"1024\" height=\"640\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-3-1024x640.jpg 1024w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-3-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-3-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-3-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-3-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-3-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-3-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-3-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-3-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-3-1344x840.jpg 1344w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-3.jpg 1440w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" title=\"\"><figcaption class=\"wp-element-caption\">C\u00f3 3 lo\u1ea1i h\u00ecnh thang<\/figcaption><\/figure>\n\n\n\n<p>H\u00ecnh thang \u0111\u01b0\u1ee3c chia th\u00e0nh ba lo\u1ea1i ch\u00ednh d\u1ef1a tr\u00ean t\u00ednh ch\u1ea5t h\u00ecnh h\u1ecdc:<\/p>\n\n\n\n<ul>\n<li><strong>H\u00ecnh thang th\u01b0\u1eddng<\/strong>: C\u00f3 hai \u0111\u00e1y song song, kh\u00f4ng c\u00f3 t\u00ednh ch\u1ea5t \u0111\u1eb7c bi\u1ec7t n\u00e0o kh\u00e1c.<\/li>\n\n\n\n<li><strong>H\u00ecnh thang vu\u00f4ng<\/strong>: C\u00f3 m\u1ed9t g\u00f3c vu\u00f4ng, th\u01b0\u1eddng d\u00f9ng trong b\u00e0i to\u00e1n h\u00ecnh h\u1ecdc th\u1ef1c t\u1ebf.<\/li>\n\n\n\n<li><strong>H\u00ecnh thang c\u00e2n<\/strong>: Hai c\u1ea1nh b\u00ean b\u1eb1ng nhau, hai g\u00f3c k\u1ec1 m\u1ed9t \u0111\u00e1y b\u1eb1ng nhau, \u0111\u01b0\u1eddng ch\u00e9o b\u1eb1ng nhau.<\/li>\n<\/ul>\n\n\n\n<p>Vi\u1ec7c ph\u00e2n bi\u1ec7t c\u00e1c lo\u1ea1i h\u00ecnh thang s\u1ebd gi\u00fap b\u1ea1n d\u1ec5 d\u00e0ng \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c ph\u00f9 h\u1ee3p trong qu\u00e1 tr\u00ecnh t\u00ednh di\u1ec7n t\u00edch v\u00e0 gi\u1ea3i b\u00e0i t\u1eadp.<\/p>\n\n\n\n<h2><span class=\"ez-toc-section\" id=\"Tong_hop_cong_thuc_tinh_dien_tich_hinh_thang_chinh_xac_day_du_nhat\"><\/span><strong>T\u1ed5ng h\u1ee3p c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang ch\u00ednh x\u00e1c, \u0111\u1ea7y \u0111\u1ee7 nh\u1ea5t<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Di\u1ec7n t\u00edch h\u00ecnh thang l\u00e0 m\u1ed9t ki\u1ebfn th\u1ee9c quan tr\u1ecdng trong to\u00e1n h\u1ecdc, \u0111\u1eb7c bi\u1ec7t l\u00e0 trong h\u00ecnh h\u1ecdc ph\u1eb3ng. Vi\u1ec7c n\u1eafm v\u1eefng c\u00f4ng th\u1ee9c v\u00e0 c\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang gi\u00fap b\u1ea1n d\u1ec5 d\u00e0ng \u00e1p d\u1ee5ng v\u00e0o b\u00e0i t\u1eadp v\u00e0 th\u1ef1c ti\u1ec5n. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 t\u1ed5ng h\u1ee3p chi ti\u1ebft c\u00e1c c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch cho t\u1eebng lo\u1ea1i h\u00ecnh thang, k\u00e8m theo h\u01b0\u1edbng d\u1eabn c\u1ee5 th\u1ec3 \u0111\u1ec3 b\u1ea1n hi\u1ec3u v\u00e0 \u00e1p d\u1ee5ng hi\u1ec7u qu\u1ea3:<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"Cach_tinh_dien_tich_hinh_thang_thuong\"><\/span><strong>C\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang th\u01b0\u1eddng<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>H\u00ecnh thang th\u01b0\u1eddng l\u00e0 lo\u1ea1i h\u00ecnh thang \u0111\u01a1n gi\u1ea3n nh\u1ea5t, ch\u1ec9 c\u00f3 hai \u0111\u00e1y song song m\u00e0 kh\u00f4ng c\u00f3 th\u00eam t\u00ednh ch\u1ea5t \u0111\u1eb7c bi\u1ec7t n\u00e0o kh\u00e1c. C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang th\u01b0\u1eddng d\u1ef1a tr\u00ean trung b\u00ecnh c\u1ed9ng hai \u0111\u00e1y v\u00e0 chi\u1ec1u cao.<\/p>\n\n\n\n<p><strong>C\u00f4ng th\u1ee9c chung:<\/strong><\/p>\n\n\n\n<p>S=( a + b ) h2<\/p>\n\n\n\n<p><strong>Trong \u0111\u00f3:<\/strong><\/p>\n\n\n\n<ul>\n<li><strong>S<\/strong> l\u00e0 di\u1ec7n t\u00edch h\u00ecnh thang<\/li>\n\n\n\n<li><strong>a, b <\/strong>l\u00e0 \u0111\u1ed9 d\u00e0i hai \u0111\u00e1y<\/li>\n\n\n\n<li><strong>h <\/strong>l\u00e0<strong> <\/strong>chi\u1ec1u cao (kho\u1ea3ng c\u00e1ch vu\u00f4ng g\u00f3c gi\u1eefa hai \u0111\u00e1y)<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-4-1-1024x640.jpg\" alt=\"Di\u1ec7n t\u00edch h\u00ecnh thang th\u01b0\u1eddng\" class=\"wp-image-121398\" width=\"1024\" height=\"640\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-4-1-1024x640.jpg 1024w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-4-1-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-4-1-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-4-1-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-4-1-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-4-1-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-4-1-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-4-1-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-4-1-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-4-1-1344x840.jpg 1344w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-4-1.jpg 1440w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" title=\"\"><figcaption class=\"wp-element-caption\">Di\u1ec7n t\u00edch h\u00ecnh thang th\u01b0\u1eddng<\/figcaption><\/figure>\n\n\n\n<p><strong>V\u00ed d\u1ee5: <\/strong>Cho h\u00ecnh thang c\u00f3 \u0111\u00e1y l\u1edbn 10 cm, \u0111\u00e1y nh\u1ecf 6 cm v\u00e0 chi\u1ec1u cao 4 cm. \u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c:<\/p>\n\n\n\n<p>S=10 + 6 42=16 42 =32cm2&nbsp;<\/p>\n\n\n\n<p>C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang th\u01b0\u1eddng r\u1ea5t \u0111\u01a1n gi\u1ea3n v\u00e0 d\u1ec5 \u00e1p d\u1ee5ng. Ch\u1ec9 c\u1ea7n bi\u1ebft \u0111\u1ed9 d\u00e0i hai \u0111\u00e1y v\u00e0 chi\u1ec1u cao, b\u1ea1n c\u00f3 th\u1ec3 nhanh ch\u00f3ng t\u00ednh to\u00e1n \u0111\u01b0\u1ee3c di\u1ec7n t\u00edch.<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"Cach_tinh_dien_tich_hinh_thang_vuong\"><\/span><strong>C\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang vu\u00f4ng<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>H\u00ecnh thang vu\u00f4ng l\u00e0 h\u00ecnh thang c\u00f3 m\u1ed9t g\u00f3c vu\u00f4ng, t\u1ee9c l\u00e0 m\u1ed9t trong hai c\u1ea1nh b\u00ean vu\u00f4ng g\u00f3c v\u1edbi hai \u0111\u00e1y. \u0110i\u1ec1u n\u00e0y gi\u00fap ta d\u1ec5 d\u00e0ng x\u00e1c \u0111\u1ecbnh chi\u1ec1u cao c\u1ee7a h\u00ecnh thang.<\/p>\n\n\n\n<p><strong>C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang vu\u00f4ng v\u1eabn tu\u00e2n theo c\u00f4ng th\u1ee9c chung:<\/strong><\/p>\n\n\n\n<p>S = (a + b) x h \/ 2<\/p>\n\n\n\n<p><strong>Trong \u0111\u00f3<\/strong>:&nbsp;<\/p>\n\n\n\n<ul>\n<li><strong>h <\/strong>ch\u00ednh l\u00e0 c\u1ea1nh b\u00ean vu\u00f4ng g\u00f3c v\u1edbi hai \u0111\u00e1y.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-5-1-1024x640.jpg\" alt=\"Di\u1ec7n t\u00edch h\u00ecnh thang vu\u00f4ng\" class=\"wp-image-121399\" width=\"1024\" height=\"640\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-5-1-1024x640.jpg 1024w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-5-1-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-5-1-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-5-1-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-5-1-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-5-1-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-5-1-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-5-1-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-5-1-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-5-1-1344x840.jpg 1344w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-5-1.jpg 1440w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" title=\"\"><figcaption class=\"wp-element-caption\">Di\u1ec7n t\u00edch h\u00ecnh thang vu\u00f4ng<\/figcaption><\/figure>\n\n\n\n<p><strong>V\u00ed d\u1ee5:<\/strong><\/p>\n\n\n\n<p>Cho h\u00ecnh thang vu\u00f4ng c\u00f3 \u0111\u00e1y l\u1edbn 12 cm, \u0111\u00e1y nh\u1ecf 8 cm v\u00e0 c\u1ea1nh b\u00ean vu\u00f4ng g\u00f3c v\u1edbi \u0111\u00e1y l\u00e0 5 cm. \u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c:<\/p>\n\n\n\n<p>S = (12 + 8) x 5 \/ 2 = 20 x 5 \/ 2 =50cm2&nbsp;<\/p>\n\n\n\n<p>V\u1edbi h\u00ecnh thang vu\u00f4ng, vi\u1ec7c t\u00ednh di\u1ec7n t\u00edch r\u1ea5t d\u1ec5 d\u00e0ng do chi\u1ec1u cao ch\u00ednh l\u00e0 c\u1ea1nh b\u00ean vu\u00f4ng g\u00f3c. \u0110\u00e2y l\u00e0 m\u1ed9t d\u1ea1ng \u0111\u1eb7c bi\u1ec7t c\u1ee7a h\u00ecnh thang gi\u00fap vi\u1ec7c t\u00ednh to\u00e1n nhanh v\u00e0 ch\u00ednh x\u00e1c h\u01a1n.<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"Cach_tinh_dien_tich_hinh_thang_can\"><\/span><strong>C\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang c\u00e2n<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>H\u00ecnh thang c\u00e2n l\u00e0 m\u1ed9t lo\u1ea1i h\u00ecnh thang \u0111\u1eb7c bi\u1ec7t c\u00f3 hai c\u1ea1nh b\u00ean b\u1eb1ng nhau v\u00e0 hai g\u00f3c k\u1ec1 m\u1ed9t \u0111\u00e1y b\u1eb1ng nhau. Nh\u1edd t\u00ednh \u0111\u1ed1i x\u1ee9ng n\u00e0y, ch\u00fang ta c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng nhi\u1ec1u c\u00e1ch kh\u00e1c nhau \u0111\u1ec3 t\u00ednh di\u1ec7n t\u00edch.<\/p>\n\n\n\n<p><strong>C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang c\u00e2n v\u1eabn theo c\u00f4ng th\u1ee9c chung:<\/strong><\/p>\n\n\n\n<p>S = (a + b) x h \/ 2<\/p>\n\n\n\n<p>Ngo\u00e0i ra, ta c\u00f3 th\u1ec3 chia nh\u1ecf h\u00ecnh thang c\u00e2n th\u00e0nh m\u1ed9t h\u00ecnh ch\u1eef nh\u1eadt v\u00e0 hai tam gi\u00e1c vu\u00f4ng \u0111\u1ec3 t\u00ednh di\u1ec7n t\u00edch.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-6-1024x640.jpg\" alt=\"Di\u1ec7n t\u00edch h\u00ecnh thang c\u00e2n\" class=\"wp-image-121396\" width=\"1024\" height=\"640\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-6-1024x640.jpg 1024w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-6-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-6-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-6-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-6-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-6-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-6-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-6-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-6-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-6-1344x840.jpg 1344w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-6.jpg 1440w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" title=\"\"><figcaption class=\"wp-element-caption\">Di\u1ec7n t\u00edch h\u00ecnh thang c\u00e2n<\/figcaption><\/figure>\n\n\n\n<p><strong>Ph\u01b0\u01a1ng ph\u00e1p chia nh\u1ecf h\u00ecnh thang c\u00e2n<\/strong><\/p>\n\n\n\n<p>Gi\u1ea3 s\u1eed h\u00ecnh thang c\u00e2n ABCD c\u00f3:<\/p>\n\n\n\n<ul>\n<li><strong>Hai \u0111\u00e1y AB v\u00e0 CD<\/strong><\/li>\n\n\n\n<li><strong>Hai c\u1ea1nh b\u00ean b\u1eb1ng nhau AD=BC<\/strong><\/li>\n\n\n\n<li><strong>\u0110\u01b0\u1eddng cao<\/strong> <strong>AH v\u00e0 BK<\/strong>, v\u1edbi H,K l\u00e0 ch\u00e2n \u0111\u01b0\u1eddng vu\u00f4ng g\u00f3c t\u1eeb A v\u00e0 B xu\u1ed1ng \u0111\u00e1y CD<\/li>\n<\/ul>\n\n\n\n<p>H\u00ecnh thang c\u00e2n s\u1ebd \u0111\u01b0\u1ee3c chia th\u00e0nh:<\/p>\n\n\n\n<ul>\n<li>H\u00ecnh ch\u1eef nh\u1eadt ABKH: Di\u1ec7n t\u00edch S(1) = AB \u00d7 AH<\/li>\n\n\n\n<li>Hai tam gi\u00e1c vu\u00f4ng ADH v\u00e0 BCK: C\u00f3 di\u1ec7n t\u00edch b\u1eb1ng nhau&nbsp;<\/li>\n<\/ul>\n\n\n\n<p>S(2) = AH x DH \/ 2<\/p>\n\n\n\n<p>T\u1ed5ng di\u1ec7n t\u00edch h\u00ecnh thang c\u00e2n:<\/p>\n\n\n\n<p>S = S(1) + 2S(2)<\/p>\n\n\n\n<p>Thay c\u00e1c gi\u00e1 tr\u1ecb v\u00e0o, ta c\u00f3:<\/p>\n\n\n\n<p>S = AB x AH&nbsp; + 2 (AH x DH \/2) = AB x AH + AH x DH<\/p>\n\n\n\n<p>C\u00f3 nhi\u1ec1u c\u00e1ch \u0111\u1ec3 t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang c\u00e2n, nh\u01b0ng c\u00e1ch \u0111\u01a1n gi\u1ea3n nh\u1ea5t v\u1eabn l\u00e0 \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c chung. N\u1ebfu \u0111\u1ec1 b\u00e0i kh\u00f4ng cho s\u1eb5n chi\u1ec1u cao, ta c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng \u0111\u1ecbnh l\u00fd Pitago ho\u1eb7c ph\u01b0\u01a1ng ph\u00e1p chia nh\u1ecf h\u00ecnh \u0111\u1ec3 t\u00ednh to\u00e1n d\u1ec5 d\u00e0ng h\u01a1n.<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"Cach_tinh_dien_tich_hinh_thang_vuong_can\"><\/span><strong>C\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang vu\u00f4ng c\u00e2n<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>Th\u1ef1c t\u1ebf, kh\u00f4ng t\u1ed3n t\u1ea1i h\u00ecnh thang v\u1eeba vu\u00f4ng v\u1eeba c\u00e2n, b\u1edfi n\u1ebfu m\u1ed9t h\u00ecnh thang c\u00f3 m\u1ed9t g\u00f3c vu\u00f4ng v\u00e0 hai c\u1ea1nh b\u00ean b\u1eb1ng nhau th\u00ec n\u00f3 tr\u1edf th\u00e0nh h\u00ecnh ch\u1eef nh\u1eadt. V\u00ec v\u1eady, trong tr\u01b0\u1eddng h\u1ee3p \u0111\u1ec1 b\u00e0i y\u00eau c\u1ea7u t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang vu\u00f4ng c\u00e2n, ch\u00fang ta n\u00ean ki\u1ec3m tra l\u1ea1i \u0111\u1ec1 b\u00e0i ho\u1eb7c hi\u1ec3u r\u1eb1ng n\u00f3 ch\u00ednh l\u00e0 m\u1ed9t h\u00ecnh ch\u1eef nh\u1eadt, khi \u0111\u00f3 c\u00f4ng th\u1ee9c di\u1ec7n t\u00edch l\u00e0:<\/p>\n\n\n\n<p>S = a x h<\/p>\n\n\n\n<p><strong>Trong \u0111\u00f3:<\/strong><\/p>\n\n\n\n<ul>\n<li><strong>a <\/strong>l\u00e0 \u0111\u1ed9 d\u00e0i m\u1ed9t c\u1ea1nh (\u0111\u01b0\u1ee3c coi nh\u01b0 m\u1ed9t \u0111\u00e1y)<\/li>\n\n\n\n<li><strong>h<\/strong> l\u00e0 chi\u1ec1u cao (b\u1eb1ng c\u1ea1nh c\u00f2n l\u1ea1i)<\/li>\n<\/ul>\n\n\n\n<p><strong>V\u00ed d\u1ee5: <\/strong>Cho h\u00ecnh ch\u1eef nh\u1eadt c\u00f3 chi\u1ec1u d\u00e0i 10 cm, chi\u1ec1u r\u1ed9ng 6 cm. Khi \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c:<\/p>\n\n\n\n<p>S = 10 x 6 = 60cm2<\/p>\n\n\n\n<p>Kh\u00f4ng c\u00f3 h\u00ecnh thang vu\u00f4ng c\u00e2n trong h\u00ecnh h\u1ecdc. N\u1ebfu \u0111\u1ec1 b\u00e0i y\u00eau c\u1ea7u t\u00ecm di\u1ec7n t\u00edch m\u1ed9t h\u00ecnh thang c\u00f3 hai c\u1ea1nh b\u00ean b\u1eb1ng nhau v\u00e0 m\u1ed9t g\u00f3c vu\u00f4ng, \u0111\u00f3 th\u1ef1c ch\u1ea5t l\u00e0 b\u00e0i to\u00e1n v\u1ec1 h\u00ecnh ch\u1eef nh\u1eadt. Trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y, ta ch\u1ec9 c\u1ea7n \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c di\u1ec7n t\u00edch h\u00ecnh ch\u1eef nh\u1eadt \u0111\u1ec3 t\u00ecm k\u1ebft qu\u1ea3.<\/p>\n\n\n\n<h2><span class=\"ez-toc-section\" id=\"Cac_dang_bai_tap_tinh_dien_tich_hinh_thang\"><\/span><strong>C\u00e1c d\u1ea1ng b\u00e0i t\u1eadp t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Di\u1ec7n t\u00edch h\u00ecnh thang c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng nhi\u1ec1u c\u00e1ch kh\u00e1c nhau t\u00f9y v\u00e0o d\u1eef ki\u1ec7n \u0111\u1ec1 b\u00e0i cung c\u1ea5p. \u0110\u1ec3 n\u1eafm v\u1eefng ki\u1ebfn th\u1ee9c v\u00e0 bi\u1ebft c\u00e1ch \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c ph\u00f9 h\u1ee3p, d\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 d\u1ea1ng b\u00e0i t\u1eadp ph\u1ed5 bi\u1ebfn k\u00e8m l\u1eddi gi\u1ea3i chi ti\u1ebft:<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"Cach_tinh_dien_tich_hinh_thang_4_canh_khong_bang_nhau\"><\/span><strong>C\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang 4 c\u1ea1nh kh\u00f4ng b\u1eb1ng nhau<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>H\u00ecnh thang c\u00f3 4 c\u1ea1nh kh\u00f4ng b\u1eb1ng nhau l\u00e0 tr\u01b0\u1eddng h\u1ee3p t\u1ed5ng qu\u00e1t nh\u1ea5t c\u1ee7a h\u00ecnh thang, trong \u0111\u00f3 c\u1ea3 hai \u0111\u00e1y v\u00e0 hai c\u1ea1nh b\u00ean \u0111\u1ec1u c\u00f3 \u0111\u1ed9 d\u00e0i kh\u00e1c nhau. Tr\u01b0\u1eddng h\u1ee3p, n\u1ebfu bi\u1ebft \u0111\u01b0\u1eddng cao&nbsp;h, d\u00f9ng c\u00f4ng th\u1ee9c c\u01a1 b\u1ea3n \u0111\u1ec3 t\u00ednh.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-7-1024x640.jpg\" alt=\"Di\u1ec7n t\u00edch h\u00ecnh thang 4 c\u1ea1nh kh\u00f4ng b\u1eb1ng nhau\n\" class=\"wp-image-121400\" width=\"1024\" height=\"640\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-7-1024x640.jpg 1024w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-7-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-7-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-7-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-7-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-7-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-7-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-7-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-7-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-7-1344x840.jpg 1344w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-7.jpg 1440w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" title=\"\"><figcaption class=\"wp-element-caption\">Di\u1ec7n t\u00edch h\u00ecnh thang 4 c\u1ea1nh kh\u00f4ng b\u1eb1ng nhau<\/figcaption><\/figure>\n\n\n\n<p><strong>V\u00ed d\u1ee5: <\/strong>M\u1ed9t h\u00ecnh thang c\u00f3 \u0111\u00e1y l\u1edbn 10 cm, \u0111\u00e1y nh\u1ecf 6 cm, chi\u1ec1u cao 5 cm v\u00e0 c\u1ea1nh b\u00ean 7 cm. T\u00ednh di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh thang n\u00e0y.<\/p>\n\n\n\n<p><strong>Di\u1ec7n t\u00edch h\u00ecnh thang \u0111\u01b0\u1ee3c t\u00ednh theo c\u00f4ng th\u1ee9c:<\/strong><\/p>\n\n\n\n<p>S = (a + b) x h \/ 2<\/p>\n\n\n\n<p><strong>Trong \u0111\u00f3:<\/strong><\/p>\n\n\n\n<ul>\n<li>a = 10 cm (\u0111\u00e1y l\u1edbn)<\/li>\n\n\n\n<li>b = 6 cm (\u0111\u00e1y nh\u1ecf)<\/li>\n\n\n\n<li>h = 5 cm (chi\u1ec1u cao)<\/li>\n<\/ul>\n\n\n\n<p><strong>\u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c:<\/strong><\/p>\n\n\n\n<p>S = 10 + 6 x 5 \/ 2=16 x 5 \/ 2 =40cm2&nbsp;<\/p>\n\n\n\n<p><strong>\u0110\u00e1p \u00e1n:<\/strong> 40 cm\u00b2<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"Tinh_dien_tich_hinh_thang_khi_biet_4_canh\"><\/span><strong>T\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang khi bi\u1ebft 4 c\u1ea1nh<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>Khi b\u00e0i to\u00e1n cho bi\u1ebft \u0111\u1ed9 d\u00e0i 4 c\u1ea1nh c\u1ee7a h\u00ecnh thang, ta c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch sau:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-8-1024x640.jpg\" alt=\"C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang khi bi\u1ebft 4 c\u1ea1nh\" class=\"wp-image-121401\" width=\"1024\" height=\"640\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-8-1024x640.jpg 1024w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-8-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-8-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-8-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-8-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-8-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-8-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-8-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-8-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-8-1344x840.jpg 1344w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-8.jpg 1440w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" title=\"\"><figcaption class=\"wp-element-caption\">C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang khi bi\u1ebft 4 c\u1ea1nh<\/figcaption><\/figure>\n\n\n\n<p><strong>Trong \u0111\u00f3:&nbsp;<\/strong><\/p>\n\n\n\n<ul>\n<li><strong>S<\/strong> l\u00e0 di\u1ec7n t\u00edch h\u00ecnh thang<\/li>\n\n\n\n<li><strong>a<\/strong> v\u00e0 <strong>b<\/strong> l\u00e0 \u0111\u1ed9 d\u00e0i 2 c\u1ea1nh \u0111\u00e1y<\/li>\n\n\n\n<li><strong>h<\/strong> l\u00e0 \u0111\u1ed9 d\u00e0i c\u1ea1nh b\u00ean vu\u00f4ng g\u00f3c v\u1edbi 2 \u0111\u00e1y<\/li>\n<\/ul>\n\n\n\n<p><strong>V\u00ed d\u1ee5: <\/strong>Cho h\u00ecnh thang c\u00f3 c\u00e1c c\u1ea1nh:<\/p>\n\n\n\n<ul>\n<li>\u0110\u00e1y nh\u1ecf a=6 cm<\/li>\n\n\n\n<li>\u0110\u00e1y l\u1edbn c=10 cm<\/li>\n\n\n\n<li>Hai c\u1ea1nh b\u00ean: b=5 cm,&nbsp; d=7 cm<\/li>\n<\/ul>\n\n\n\n<p>H\u00e3y t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang.<\/p>\n\n\n\n<p><strong>\u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-9-1-1024x640.jpg\" alt=\"Di\u1ec7n t\u00edch h\u00ecnh thang khi bi\u1ebft 4 c\u1ea1nh\n\" class=\"wp-image-121404\" width=\"1024\" height=\"640\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-9-1-1024x640.jpg 1024w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-9-1-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-9-1-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-9-1-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-9-1-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-9-1-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-9-1-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-9-1-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-9-1-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-9-1-1344x840.jpg 1344w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/03\/dien-tich-hinh-thang-9-1.jpg 1440w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" title=\"\"><figcaption class=\"wp-element-caption\">Di\u1ec7n t\u00edch h\u00ecnh thang khi bi\u1ebft 4 c\u1ea1nh<\/figcaption><\/figure>\n\n\n\n<p><strong>\u0110\u00e1p \u00e1n: <\/strong>Kho\u1ea3ng 15.94 cm\u00b2.<\/p>\n\n\n\n<p>C\u00f4ng th\u1ee9c n\u00e0y gi\u00fap t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang khi bi\u1ebft \u0111\u1ea7y \u0111\u1ee7 4 c\u1ea1nh, \u00e1p d\u1ee5ng t\u1ed1t cho c\u00e1c b\u00e0i to\u00e1n ph\u1ee9c t\u1ea1p h\u01a1n.<\/p>\n\n\n\n<h2><span class=\"ez-toc-section\" id=\"Tong_ket\"><\/span><strong>T\u1ed5ng k\u1ebft<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Di\u1ec7n t\u00edch h\u00ecnh thang c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c t\u00ednh d\u1ec5 d\u00e0ng n\u1ebfu b\u1ea1n n\u1eafm v\u1eefng c\u00f4ng th\u1ee9c ph\u00f9 h\u1ee3p v\u1edbi t\u1eebng lo\u1ea1i h\u00ecnh thang: th\u01b0\u1eddng, vu\u00f4ng, c\u00e2n. Hy v\u1ecdng v\u1edbi nh\u1eefng c\u00f4ng th\u1ee9c v\u00e0 b\u00e0i t\u1eadp minh h\u1ecda trong b\u00e0i vi\u1ebft, b\u1ea1n s\u1ebd \u00e1p d\u1ee5ng th\u00e0nh th\u1ea1o v\u00e0o th\u1ef1c t\u1ebf. \u0110\u1eebng qu\u00ean l\u01b0u l\u1ea1i \u0111\u1ec3 \u00f4n t\u1eadp v\u00e0 s\u1eed d\u1ee5ng khi c\u1ea7n thi\u1ebft nh\u00e9!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Di\u1ec7n t\u00edch h\u00ecnh thang l\u00e0 m\u1ed9t trong nh\u1eefng ki\u1ebfn th\u1ee9c quan tr\u1ecdng trong to\u00e1n h\u1ecdc, \u0111\u1eb7c bi\u1ec7t khi gi\u1ea3i b\u00e0i t\u1eadp h\u00ecnh h\u1ecdc. \u0110\u1ec3 gi\u00fap b\u1ea1n n\u1eafm v\u1eefng c\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang m\u1ed9t c\u00e1ch d\u1ec5 d\u00e0ng, b\u00e0i vi\u1ebft n\u00e0y, Phong V\u0169 Tech News s\u1ebd t\u1ed5ng h\u1ee3p 4 c\u00f4ng th\u1ee9c chu\u1ea9n \u00e1p d\u1ee5ng cho [&hellip;]<\/p>\n","protected":false},"author":34,"featured_media":121403,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[74],"tags":[],"_links":{"self":[{"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/posts\/121392"}],"collection":[{"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/users\/34"}],"replies":[{"embeddable":true,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/comments?post=121392"}],"version-history":[{"count":2,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/posts\/121392\/revisions"}],"predecessor-version":[{"id":121406,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/posts\/121392\/revisions\/121406"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/media\/121403"}],"wp:attachment":[{"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/media?parent=121392"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/categories?post=121392"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/tags?post=121392"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}