{"id":298298,"date":"2023-12-20T19:49:49","date_gmt":"2023-12-20T12:49:49","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=298298"},"modified":"2026-11-05T14:07:09","modified_gmt":"2026-11-05T07:07:09","slug":"cong-thuc-tinh-dien-tich-hinh-thang","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/cong-thuc-tinh-dien-tich-hinh-thang\/","title":{"rendered":"Di\u1ec7n t\u00edch h\u00ecnh thang: C\u00f4ng th\u1ee9c t\u00ednh h\u00ecnh thang vu\u00f4ng, c\u00e2n v\u00e0 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i"},"content":{"rendered":"<p><strong>Di\u1ec7n t\u00edch h\u00ecnh thang b\u1eb1ng t\u1ed5ng \u0111\u1ed9 d\u00e0i hai \u0111\u00e1y nh\u00e2n v\u1edbi chi\u1ec1u cao r\u1ed3i chia 2: S = (a + b) \u00d7 h : 2.<\/strong> V\u00ed d\u1ee5 h\u00ecnh thang c\u00f3 hai \u0111\u00e1y 10 cm v\u00e0 15 cm, chi\u1ec1u cao 5 cm th\u00ec S = (10 + 15) \u00d7 5 : 2 = 62,5 cm\u00b2. C\u00f4ng th\u1ee9c n\u00e0y d\u00f9ng chung cho h\u00ecnh thang th\u01b0\u1eddng, h\u00ecnh thang vu\u00f4ng v\u00e0 h\u00ecnh thang c\u00e2n; ch\u1ec9 kh\u00e1c \u1edf c\u00e1ch t\u00ecm chi\u1ec1u cao. B\u00e0i vi\u1ebft h\u01b0\u1edbng d\u1eabn t\u1eebng tr\u01b0\u1eddng h\u1ee3p, c\u00e1ch t\u00ecm chi\u1ec1u cao ho\u1eb7c \u0111\u00e1y khi bi\u1ebft di\u1ec7n t\u00edch, k\u00e8m b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i.<\/p>\n<p><strong>T\u00f3m t\u1eaft nhanh:<\/strong><\/p>\n<ul>\n<li><strong>C\u00f4ng th\u1ee9c chung:<\/strong> S = (a + b) \u00d7 h : 2, v\u1edbi a, b l\u00e0 hai \u0111\u00e1y, h l\u00e0 chi\u1ec1u cao.<\/li>\n<li><strong>H\u00ecnh thang vu\u00f4ng:<\/strong> chi\u1ec1u cao ch\u00ednh l\u00e0 c\u1ea1nh b\u00ean vu\u00f4ng g\u00f3c v\u1edbi hai \u0111\u00e1y.<\/li>\n<li><strong>H\u00ecnh thang c\u00e2n bi\u1ebft 4 c\u1ea1nh:<\/strong> t\u00ecm h b\u1eb1ng \u0111\u1ecbnh l\u00fd Pytago r\u1ed3i \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c chung.<\/li>\n<li><strong>T\u00ecm ng\u01b0\u1ee3c:<\/strong> h = 2S : (a + b); a + b = 2S : h.<\/li>\n<\/ul>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"wp-image-298300 size-full\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-1.jpg\" alt=\"H\u00ecnh thang ABCD g\u1ed3m hai c\u1ea1nh \u0111\u00e1y, hai c\u1ea1nh b\u00ean v\u00e0 \u0111\u01b0\u1eddng cao AH\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>H\u00ecnh thang l\u00e0 g\u00ec?<\/h2>\n<p>H\u00ecnh thang l\u00e0 t\u1ee9 gi\u00e1c c\u00f3 hai c\u1ea1nh \u0111\u1ed1i song song. Hai c\u1ea1nh song song g\u1ecdi l\u00e0 <strong>hai \u0111\u00e1y<\/strong> (\u0111\u00e1y l\u1edbn, \u0111\u00e1y nh\u1ecf), hai c\u1ea1nh c\u00f2n l\u1ea1i l\u00e0 <strong>hai c\u1ea1nh b\u00ean<\/strong>. <strong>Chi\u1ec1u cao<\/strong> l\u00e0 kho\u1ea3ng c\u00e1ch gi\u1eefa hai \u0111\u00e1y, t\u1ee9c \u0111\u1ed9 d\u00e0i \u0111o\u1ea1n vu\u00f4ng g\u00f3c k\u1ebb t\u1eeb m\u1ed9t \u0111\u1ec9nh c\u1ee7a \u0111\u00e1y n\u00e0y xu\u1ed1ng \u0111\u00e1y kia. \u0110\u1ecbnh ngh\u0129a v\u00e0 t\u00ednh ch\u1ea5t chi ti\u1ebft c\u00f3 trong b\u00e0i <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/hinh-thang\/\">h\u00ecnh thang l\u00e0 g\u00ec<\/a>.<\/p>\n<ul>\n<li><strong>H\u00ecnh thang vu\u00f4ng:<\/strong> h\u00ecnh thang c\u00f3 m\u1ed9t g\u00f3c vu\u00f4ng (khi \u0111\u00f3 c\u00f3 m\u1ed9t c\u1ea1nh b\u00ean vu\u00f4ng g\u00f3c v\u1edbi hai \u0111\u00e1y).<\/li>\n<li><strong>H\u00ecnh thang c\u00e2n:<\/strong> h\u00ecnh thang c\u00f3 hai g\u00f3c k\u1ec1 m\u1ed9t \u0111\u00e1y b\u1eb1ng nhau; hai c\u1ea1nh b\u00ean b\u1eb1ng nhau, hai \u0111\u01b0\u1eddng ch\u00e9o b\u1eb1ng nhau.<\/li>\n<li>H\u00ecnh thang c\u00f3 hai c\u1ea1nh b\u00ean song song l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh; h\u00ecnh thang c\u00e2n c\u00f3 m\u1ed9t g\u00f3c vu\u00f4ng l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt.<\/li>\n<\/ul>\n<h2>C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang<\/h2>\n<p style=\"text-align: center;\"><strong>S = (a + b) \u00d7 h : 2<\/strong><\/p>\n<ul>\n<li>S: di\u1ec7n t\u00edch; a, b: \u0111\u1ed9 d\u00e0i hai \u0111\u00e1y; h: chi\u1ec1u cao (c\u00f9ng \u0111\u01a1n v\u1ecb v\u1edbi a, b).<\/li>\n<\/ul>\n<p>N\u00f3i c\u00e1ch kh\u00e1c, di\u1ec7n t\u00edch h\u00ecnh thang b\u1eb1ng trung b\u00ecnh c\u1ed9ng hai \u0111\u00e1y nh\u00e2n v\u1edbi chi\u1ec1u cao. V\u00ec (a + b) : 2 ch\u00ednh l\u00e0 \u0111\u1ed9 d\u00e0i <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/duong-trung-binh\/\">\u0111\u01b0\u1eddng trung b\u00ecnh<\/a> m c\u1ee7a h\u00ecnh thang, c\u00f4ng th\u1ee9c c\u00f2n vi\u1ebft g\u1ecdn l\u00e0 <strong>S = m \u00d7 h<\/strong>.<\/p>\n<p><img decoding=\"async\" class=\"size-full wp-image-298301\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-2.jpg\" alt=\"C\u00f4ng th\u1ee9c di\u1ec7n t\u00edch h\u00ecnh thang S = 1\/2 h(a + b)\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<table>\n<thead>\n<tr>\n<th>C\u1ea7n t\u00ecm<\/th>\n<th>C\u00f4ng th\u1ee9c<\/th>\n<th>V\u00ed d\u1ee5<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Di\u1ec7n t\u00edch<\/td>\n<td>S = (a + b) \u00d7 h : 2<\/td>\n<td>a = 10, b = 15, h = 5 (cm) \u2192 S = 62,5 cm\u00b2<\/td>\n<\/tr>\n<tr>\n<td>Chi\u1ec1u cao<\/td>\n<td>h = 2S : (a + b)<\/td>\n<td>S = 60 cm\u00b2, a = 8, b = 12 (cm) \u2192 h = 6 cm<\/td>\n<\/tr>\n<tr>\n<td>T\u1ed5ng hai \u0111\u00e1y<\/td>\n<td>a + b = 2S : h<\/td>\n<td>S = 50 cm\u00b2, h = 5 cm \u2192 a + b = 20 cm<\/td>\n<\/tr>\n<tr>\n<td>M\u1ed9t \u0111\u00e1y<\/td>\n<td>b = 2S : h \u2212 a<\/td>\n<td>S = 50 cm\u00b2, h = 5 cm, a = 6 cm \u2192 b = 14 cm<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>C\u00e1c b\u01b0\u1edbc t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang<\/h2>\n<ol>\n<li><strong>C\u1ed9ng hai \u0111\u00e1y:<\/strong> v\u1edbi a = 10 cm, b = 15 cm th\u00ec a + b = 25 cm.<\/li>\n<li><strong>X\u00e1c \u0111\u1ecbnh chi\u1ec1u cao:<\/strong> chi\u1ec1u cao l\u00e0 \u0111o\u1ea1n vu\u00f4ng g\u00f3c gi\u1eefa hai \u0111\u00e1y, kh\u00f4ng ph\u1ea3i c\u1ea1nh b\u00ean (tr\u1eeb h\u00ecnh thang vu\u00f4ng). Gi\u1ea3 s\u1eed h = 5 cm.<\/li>\n<li><strong>Nh\u00e2n v\u1edbi chi\u1ec1u cao:<\/strong> 25 \u00d7 5 = 125.<\/li>\n<li><strong>Chia 2:<\/strong> S = 125 : 2 = 62,5 cm\u00b2.<\/li>\n<\/ol>\n<p>Nh\u1edb \u0111\u1ed5i c\u00e1c s\u1ed1 \u0111o v\u1ec1 c\u00f9ng m\u1ed9t \u0111\u01a1n v\u1ecb tr\u01b0\u1edbc khi t\u00ednh.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-298304\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-5.jpg\" alt=\"Chi\u1ec1u cao h l\u00e0 \u0111o\u1ea1n vu\u00f4ng g\u00f3c gi\u1eefa hai \u0111\u00e1y a v\u00e0 b\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-5.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-5-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-5-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>Di\u1ec7n t\u00edch h\u00ecnh thang vu\u00f4ng<\/h2>\n<p>H\u00ecnh thang vu\u00f4ng c\u00f3 m\u1ed9t c\u1ea1nh b\u00ean vu\u00f4ng g\u00f3c v\u1edbi hai \u0111\u00e1y, n\u00ean c\u1ea1nh b\u00ean \u0111\u00f3 ch\u00ednh l\u00e0 chi\u1ec1u cao. C\u00f4ng th\u1ee9c v\u1eabn l\u00e0:<\/p>\n<p style=\"text-align: center;\"><strong>S = (a + b) \u00d7 h : 2<\/strong>, v\u1edbi h l\u00e0 c\u1ea1nh b\u00ean vu\u00f4ng g\u00f3c.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-298303 size-full\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-4.jpg\" alt=\"H\u00ecnh thang vu\u00f4ng MNPQ\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>V\u00ed d\u1ee5: h\u00ecnh thang XYML vu\u00f4ng t\u1ea1i X c\u00f3 \u0111\u00e1y XY = 12 cm, ML = 15 cm v\u00e0 c\u1ea1nh b\u00ean XL = 8 cm vu\u00f4ng g\u00f3c v\u1edbi hai \u0111\u00e1y. Di\u1ec7n t\u00edch S = (12 + 15) \u00d7 8 : 2 = 108 cm\u00b2.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-298305\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-6.jpg\" alt=\"Di\u1ec7n t\u00edch h\u00ecnh thang vu\u00f4ng v\u1edbi chi\u1ec1u cao l\u00e0 c\u1ea1nh b\u00ean\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-6.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-6-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-6-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>Di\u1ec7n t\u00edch h\u00ecnh thang c\u00e2n khi bi\u1ebft \u0111\u1ed9 d\u00e0i 4 c\u1ea1nh<\/h2>\n<p>V\u1edbi h\u00ecnh thang c\u00e2n, n\u1ebfu \u0111\u1ec1 ch\u1ec9 cho hai \u0111\u00e1y v\u00e0 c\u1ea1nh b\u00ean, ta t\u00ecm chi\u1ec1u cao tr\u01b0\u1edbc:<\/p>\n<ol>\n<li>T\u1eeb hai \u0111\u1ec9nh \u0111\u00e1y nh\u1ecf k\u1ebb hai \u0111\u01b0\u1eddng cao xu\u1ed1ng \u0111\u00e1y l\u1edbn, chia h\u00ecnh thang th\u00e0nh m\u1ed9t h\u00ecnh ch\u1eef nh\u1eadt v\u00e0 hai tam gi\u00e1c vu\u00f4ng b\u1eb1ng nhau.<\/li>\n<li>\u0110\u00e1y m\u1ed7i tam gi\u00e1c vu\u00f4ng b\u1eb1ng (\u0111\u00e1y l\u1edbn \u2212 \u0111\u00e1y nh\u1ecf) : 2.<\/li>\n<li>D\u00f9ng <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dinh-ly-pytago\/\">\u0111\u1ecbnh l\u00fd Pytago<\/a>: h\u00b2 = c\u1ea1nh b\u00ean\u00b2 \u2212 (\u0111\u00e1y tam gi\u00e1c)\u00b2.<\/li>\n<li>Thay h v\u00e0o c\u00f4ng th\u1ee9c chung.<\/li>\n<\/ol>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-298306\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-7.jpg\" alt=\"H\u00ecnh thang c\u00e2n chia th\u00e0nh h\u00ecnh ch\u1eef nh\u1eadt v\u00e0 hai tam gi\u00e1c vu\u00f4ng\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-7.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-7-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-7-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>V\u00ed d\u1ee5: h\u00ecnh thang c\u00e2n c\u00f3 \u0111\u00e1y nh\u1ecf 7 cm, \u0111\u00e1y l\u1edbn 15 cm, c\u1ea1nh b\u00ean 5 cm. \u0110\u00e1y tam gi\u00e1c vu\u00f4ng = (15 \u2212 7) : 2 = 4 cm; h\u00b2 = 5\u00b2 \u2212 4\u00b2 = 9 n\u00ean h = 3 cm. Di\u1ec7n t\u00edch S = (7 + 15) \u00d7 3 : 2 = 33 cm\u00b2.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-298302\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-3.jpg\" alt=\"H\u00ecnh thang c\u00e2n ABCD c\u00f3 hai g\u00f3c k\u1ec1 \u0111\u00e1y b\u1eb1ng nhau\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>B\u00e0i t\u1eadp di\u1ec7n t\u00edch h\u00ecnh thang c\u00f3 l\u1eddi gi\u1ea3i<\/h2>\n<p><strong>B\u00e0i 1:<\/strong> H\u00ecnh thang c\u00f3 hai \u0111\u00e1y 10 cm, 12 cm v\u00e0 chi\u1ec1u cao 7 cm. T\u00ednh di\u1ec7n t\u00edch.<br \/>L\u1eddi gi\u1ea3i: S = (10 + 12) \u00d7 7 : 2 = 77 cm\u00b2.<\/p>\n<p><strong>B\u00e0i 2:<\/strong> M\u1ed9t m\u1ea3nh \u0111\u1ea5t h\u00ecnh thang c\u00f3 \u0111\u00e1y b\u00e9 20 m, \u0111\u00e1y l\u1edbn 24 m. Khi m\u1edf r\u1ed9ng \u0111\u00e1y b\u00e9 th\u00eam 3 m v\u00e0 \u0111\u00e1y l\u1edbn th\u00eam 5 m (chi\u1ec1u cao gi\u1eef nguy\u00ean) th\u00ec di\u1ec7n t\u00edch t\u0103ng th\u00eam 38 m\u00b2. T\u00ednh di\u1ec7n t\u00edch ban \u0111\u1ea7u.<br \/>L\u1eddi gi\u1ea3i: ph\u1ea7n t\u0103ng th\u00eam l\u00e0 h\u00ecnh thang c\u00f3 hai \u0111\u00e1y 3 m, 5 m v\u00e0 c\u00f9ng chi\u1ec1u cao, n\u00ean h = 38 \u00d7 2 : (3 + 5) = 9,5 m. Di\u1ec7n t\u00edch ban \u0111\u1ea7u S = (20 + 24) \u00d7 9,5 : 2 = 209 m\u00b2.<\/p>\n<p><strong>B\u00e0i 3:<\/strong> H\u00ecnh thang vu\u00f4ng c\u00f3 chi\u1ec1u cao 20 cm, di\u1ec7n t\u00edch 200 cm\u00b2, \u0111\u00e1y nh\u1ecf b\u1eb1ng 1\/3 \u0111\u00e1y l\u1edbn. T\u00ednh hai \u0111\u00e1y.<br \/>L\u1eddi gi\u1ea3i: t\u1ed5ng hai \u0111\u00e1y = 200 \u00d7 2 : 20 = 20 cm. \u0110\u00e1y nh\u1ecf l\u00e0 1 ph\u1ea7n, \u0111\u00e1y l\u1edbn 3 ph\u1ea7n, t\u1ed5ng 4 ph\u1ea7n, n\u00ean \u0111\u00e1y nh\u1ecf = 20 : 4 = 5 cm, \u0111\u00e1y l\u1edbn = 15 cm.<\/p>\n<p><strong>B\u00e0i 4:<\/strong> H\u00ecnh thang c\u00f3 di\u1ec7n t\u00edch 60 cm\u00b2, hai \u0111\u00e1y 8 cm v\u00e0 12 cm. T\u00ednh chi\u1ec1u cao.<br \/>L\u1eddi gi\u1ea3i: h = 60 \u00d7 2 : (8 + 12) = 6 cm.<\/p>\n<p><strong>B\u00e0i 5:<\/strong> H\u00ecnh thang c\u00f3 \u0111\u01b0\u1eddng trung b\u00ecnh 10 cm, chi\u1ec1u cao 5 cm. T\u00ednh di\u1ec7n t\u00edch.<br \/>L\u1eddi gi\u1ea3i: S = m \u00d7 h = 10 \u00d7 5 = 50 cm\u00b2.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-298307\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-8.jpg\" alt=\"B\u00e0i t\u1eadp t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang ABCD\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-8.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-8-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-8-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>L\u1ed7i th\u01b0\u1eddng g\u1eb7p<\/h2>\n<ul>\n<li>L\u1ea5y c\u1ea1nh b\u00ean l\u00e0m chi\u1ec1u cao trong h\u00ecnh thang th\u01b0\u1eddng ho\u1eb7c h\u00ecnh thang c\u00e2n.<\/li>\n<li>Qu\u00ean chia 2 sau khi nh\u00e2n t\u1ed5ng hai \u0111\u00e1y v\u1edbi chi\u1ec1u cao.<\/li>\n<li>Kh\u00f4ng \u0111\u1ed5i \u0111\u01a1n v\u1ecb (v\u00ed d\u1ee5 \u0111\u00e1y t\u00ednh b\u1eb1ng m, chi\u1ec1u cao b\u1eb1ng dm).<\/li>\n<li>Nh\u1ea7m di\u1ec7n t\u00edch v\u1edbi chu vi; chu vi l\u00e0 t\u1ed5ng 4 c\u1ea1nh, xem b\u00e0i <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/chu-vi-hinh-thang\/\">chu vi h\u00ecnh thang<\/a>.<\/li>\n<\/ul>\n<h2>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p<\/h2>\n<h3>C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang l\u00e0 g\u00ec?<\/h3>\n<p>Di\u1ec7n t\u00edch h\u00ecnh thang b\u1eb1ng t\u1ed5ng hai \u0111\u00e1y nh\u00e2n chi\u1ec1u cao r\u1ed3i chia 2: S = (a + b) \u00d7 h : 2.<\/p>\n<h3>Di\u1ec7n t\u00edch h\u00ecnh thang vu\u00f4ng t\u00ednh th\u1ebf n\u00e0o?<\/h3>\n<p>D\u00f9ng c\u00f9ng c\u00f4ng th\u1ee9c S = (a + b) \u00d7 h : 2, trong \u0111\u00f3 chi\u1ec1u cao h l\u00e0 c\u1ea1nh b\u00ean vu\u00f4ng g\u00f3c v\u1edbi hai \u0111\u00e1y.<\/p>\n<h3>Di\u1ec7n t\u00edch h\u00ecnh thang c\u00e2n t\u00ednh th\u1ebf n\u00e0o?<\/h3>\n<p>D\u00f9ng S = (a + b) \u00d7 h : 2. N\u1ebfu ch\u01b0a c\u00f3 chi\u1ec1u cao, l\u1ea5y (\u0111\u00e1y l\u1edbn \u2212 \u0111\u00e1y nh\u1ecf) : 2 r\u1ed3i d\u00f9ng \u0111\u1ecbnh l\u00fd Pytago v\u1edbi c\u1ea1nh b\u00ean \u0111\u1ec3 t\u00ecm h.<\/p>\n<h3>Bi\u1ebft di\u1ec7n t\u00edch, t\u00ecm chi\u1ec1u cao h\u00ecnh thang th\u1ebf n\u00e0o?<\/h3>\n<p>L\u1ea5y di\u1ec7n t\u00edch nh\u00e2n 2 r\u1ed3i chia cho t\u1ed5ng hai \u0111\u00e1y: h = 2S : (a + b).<\/p>\n<h3>Chi\u1ec1u cao h\u00ecnh thang c\u00f3 ph\u1ea3i c\u1ea1nh b\u00ean kh\u00f4ng?<\/h3>\n<p>Ch\u1ec9 \u0111\u00fang v\u1edbi h\u00ecnh thang vu\u00f4ng. V\u1edbi h\u00ecnh thang th\u01b0\u1eddng v\u00e0 h\u00ecnh thang c\u00e2n, chi\u1ec1u cao l\u00e0 \u0111o\u1ea1n vu\u00f4ng g\u00f3c gi\u1eefa hai \u0111\u00e1y, ng\u1eafn h\u01a1n c\u1ea1nh b\u00ean.<\/p>\n<h3>Di\u1ec7n t\u00edch h\u00ecnh thang h\u1ecdc \u1edf l\u1edbp m\u1ea5y?<\/h3>\n<p>C\u00f4ng th\u1ee9c di\u1ec7n t\u00edch h\u00ecnh thang \u0111\u01b0\u1ee3c h\u1ecdc \u1edf To\u00e1n l\u1edbp 5 v\u00e0 d\u00f9ng l\u1ea1i trong h\u00ecnh h\u1ecdc l\u1edbp 8.<\/p>\n<p><script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"FAQPage\",\n  \"mainEntity\": [\n    {\n      \"@type\": \"Question\",\n      \"name\": \"C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang l\u00e0 g\u00ec?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"Di\u1ec7n t\u00edch h\u00ecnh thang b\u1eb1ng t\u1ed5ng hai \u0111\u00e1y nh\u00e2n chi\u1ec1u cao r\u1ed3i chia 2: S = (a + b) \u00d7 h : 2.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"Di\u1ec7n t\u00edch h\u00ecnh thang vu\u00f4ng t\u00ednh th\u1ebf n\u00e0o?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"D\u00f9ng c\u00f9ng c\u00f4ng th\u1ee9c S = (a + b) \u00d7 h : 2, trong \u0111\u00f3 chi\u1ec1u cao h l\u00e0 c\u1ea1nh b\u00ean vu\u00f4ng g\u00f3c v\u1edbi hai \u0111\u00e1y.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"Di\u1ec7n t\u00edch h\u00ecnh thang c\u00e2n t\u00ednh th\u1ebf n\u00e0o?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"D\u00f9ng S = (a + b) \u00d7 h : 2. N\u1ebfu ch\u01b0a c\u00f3 chi\u1ec1u cao, l\u1ea5y (\u0111\u00e1y l\u1edbn \u2212 \u0111\u00e1y nh\u1ecf) : 2 r\u1ed3i d\u00f9ng \u0111\u1ecbnh l\u00fd Pytago v\u1edbi c\u1ea1nh b\u00ean \u0111\u1ec3 t\u00ecm h.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"Bi\u1ebft di\u1ec7n t\u00edch, t\u00ecm chi\u1ec1u cao h\u00ecnh thang th\u1ebf n\u00e0o?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"L\u1ea5y di\u1ec7n t\u00edch nh\u00e2n 2 r\u1ed3i chia cho t\u1ed5ng hai \u0111\u00e1y: h = 2S : (a + b).\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"Chi\u1ec1u cao h\u00ecnh thang c\u00f3 ph\u1ea3i c\u1ea1nh b\u00ean kh\u00f4ng?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"Ch\u1ec9 \u0111\u00fang v\u1edbi h\u00ecnh thang vu\u00f4ng. V\u1edbi h\u00ecnh thang th\u01b0\u1eddng v\u00e0 h\u00ecnh thang c\u00e2n, chi\u1ec1u cao l\u00e0 \u0111o\u1ea1n vu\u00f4ng g\u00f3c gi\u1eefa hai \u0111\u00e1y, ng\u1eafn h\u01a1n c\u1ea1nh b\u00ean.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"Di\u1ec7n t\u00edch h\u00ecnh thang h\u1ecdc \u1edf l\u1edbp m\u1ea5y?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"C\u00f4ng th\u1ee9c di\u1ec7n t\u00edch h\u00ecnh thang \u0111\u01b0\u1ee3c h\u1ecdc \u1edf To\u00e1n l\u1edbp 5 v\u00e0 d\u00f9ng l\u1ea1i trong h\u00ecnh h\u1ecdc l\u1edbp 8.\"\n      }\n    }\n  ]\n}\n<\/script><\/p>\n<h2>K\u1ebft lu\u1eadn<\/h2>\n<p>Di\u1ec7n t\u00edch h\u00ecnh thang lu\u00f4n t\u00ednh b\u1eb1ng S = (a + b) \u00d7 h : 2, d\u00f9 l\u00e0 h\u00ecnh thang th\u01b0\u1eddng, vu\u00f4ng hay c\u00e2n; \u0111i\u1ec3m kh\u00e1c nhau ch\u1ec9 l\u00e0 c\u00e1ch x\u00e1c \u0111\u1ecbnh chi\u1ec1u cao. N\u1eafm ch\u1eafc c\u00e1ch t\u00ecm ng\u01b0\u1ee3c chi\u1ec1u cao, t\u1ed5ng hai \u0111\u00e1y t\u1eeb di\u1ec7n t\u00edch l\u00e0 gi\u1ea3i \u0111\u01b0\u1ee3c h\u1ea7u h\u1ebft d\u1ea1ng b\u00e0i. Tham kh\u1ea3o th\u00eam b\u00e0i <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-tam-giac\/\">di\u1ec7n t\u00edch tam gi\u00e1c<\/a> v\u00e0 <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-hinh-thoi\/\">di\u1ec7n t\u00edch h\u00ecnh thoi<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Di\u1ec7n t\u00edch h\u00ecnh thang b\u1eb1ng t\u1ed5ng \u0111\u1ed9 d\u00e0i hai \u0111\u00e1y nh\u00e2n v\u1edbi chi\u1ec1u cao r\u1ed3i chia 2: S = (a + b) \u00d7 h : 2. V\u00ed d\u1ee5 h\u00ecnh thang c\u00f3 hai \u0111\u00e1y 10 cm v\u00e0 15 cm, chi\u1ec1u cao 5 cm th\u00ec S = (10 + 15) \u00d7 5 : 2 = 62,5 cm\u00b2. [&hellip;]<\/p>\n","protected":false},"author":97,"featured_media":298299,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"di\u1ec7n t\u00edch h\u00ecnh thang","_yoast_wpseo_title":"C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang, h\u00ecnh thang vu\u00f4ng, c\u00e2n","_yoast_wpseo_metadesc":"Di\u1ec7n t\u00edch h\u00ecnh thang S = (a + b) \u00d7 h : 2. C\u00e1ch t\u00ednh h\u00ecnh thang vu\u00f4ng, h\u00ecnh thang c\u00e2n khi bi\u1ebft 4 c\u1ea1nh, t\u00ecm chi\u1ec1u cao, \u0111\u00e1y t\u1eeb di\u1ec7n t\u00edch v\u00e0 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i.","footnotes":""},"categories":[3910,30453],"tags":[],"class_list":["post-298298","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-kham-pha","category-kien-thuc"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang, h\u00ecnh thang vu\u00f4ng, c\u00e2n<\/title>\n<meta name=\"description\" content=\"Di\u1ec7n t\u00edch h\u00ecnh thang S = (a + b) \u00d7 h : 2. 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