{"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":"2023-12-20T19:49:49","modified_gmt":"2023-12-20T12:49:49","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":"C\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang &amp; h\u00ecnh thang vu\u00f4ng, b\u00e0i t\u1eadp th\u1ef1c h\u00e0nh minh h\u1ecda chi ti\u1ebft"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">Trong to\u00e1n h\u1ecdc, c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng kh\u00e1 ph\u1ed5 bi\u1ebfn v\u00e0 n\u00f3 \u0111\u01b0\u1ee3c xem nh\u01b0 c\u00f4ng th\u1ee9c n\u1ec1n t\u1ea3ng \u0111\u1ec3 h\u1ecdc sinh gi\u1ea3i c\u00e1c b\u00e0i to\u00e1n ph\u1ee9c t\u1ea1p \u1edf c\u1ea5p \u0111\u1ed9 cao h\u01a1n. V\u1eady n\u00ean, vi\u1ec7c n\u1eafm v\u1eefng v\u00e0 \u00e1p d\u1ee5ng thu\u1ea7n th\u1ee5c c\u00f4ng th\u1ee9c n\u00e0y l\u00e0 v\u00f4 c\u00f9ng quan tr\u1ecdng v\u00e0 c\u1ea7n thi\u1ebft. Trong b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y, Ho\u00e0ng H\u00e0 Mobile s\u1ebd cung c\u1ea5p c\u00e1c c\u00f4ng th\u1ee9c ch\u00ednh v\u00e0 h\u01b0\u1edbng d\u1eabn b\u1ea1n c\u00e1ch gi\u1ea3i m\u1ed9t s\u1ed1 b\u00e0i to\u00e1n th\u01b0\u1eddng g\u1eb7p, m\u1eddi b\u1ea1n c\u00f9ng tham kh\u1ea3o!<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">H\u00ecnh thang l\u00e0 g\u00ec?<\/span><\/h2>\n<p>Tr\u01b0\u1edbc khi \u0111\u1ebfn v\u1edbi c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang, ch\u00fang ta s\u1ebd c\u00f9ng t\u00ecm hi\u1ec3u qua v\u1ec1 kh\u00e1i ni\u1ec7m c\u1ee7a lo\u1ea1i h\u00ecnh h\u1ecdc n\u00e0y v\u00e0 c\u00e1ch nh\u1eadn di\u1ec7n ch\u00fang.<\/p>\n<p><span style=\"font-weight: 400;\">H\u00ecnh thang l\u00e0 m\u1ed9t lo\u1ea1i h\u00ecnh t\u1ee9 gi\u00e1c l\u1ed3i th\u01b0\u1eddng g\u1eb7p trong c\u1ea3 to\u00e1n h\u1ecdc l\u1eabn trong cu\u1ed9c s\u1ed1ng th\u1ef1c t\u1ebf. H\u00ecnh thang s\u1ebd c\u00f3 2 c\u1ea1nh \u0111\u00e1y l\u00e0 2 c\u1ea1nh song song v\u1edbi nhau v\u00e0 2 c\u1ea1nh c\u00f2n l\u1ea1i \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 2 c\u1ea1nh b\u00ean.\u00a0<\/span><\/p>\n<figure id=\"attachment_298300\" aria-describedby=\"caption-attachment-298300\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-1.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-1-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-1-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img fetchpriority=\"high\" decoding=\"async\" class=\"wp-image-298300 size-full webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-1.jpg\" alt=\"cong-thuc-tinh-dien-tich-hinh-thang-1\" 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\"><\/picture><figcaption id=\"caption-attachment-298300\" class=\"wp-caption-text\">H\u00ecnh thang l\u00e0 m\u1ed9t lo\u1ea1i h\u00ecnh t\u1ee9 gi\u00e1c l\u1ed3i c\u00f3 2 c\u1ea1nh \u0111\u00e1y l\u00e0 2 c\u1ea1nh song song v\u1edbi nhau<\/figcaption><\/figure>\n<p><span style=\"font-weight: 400;\">Di\u1ec7n t\u00edch h\u00ecnh thang \u0111\u01b0\u1ee3c hi\u1ec3u l\u00e0 di\u1ec7n t\u00edch c\u1ee7a m\u1eb7t ph\u1eb3ng n\u1eb1m b\u00ean trong 4 c\u1ea1nh t\u1ea1o n\u00ean h\u00ecnh thang m\u00e0 ch\u00fang ta c\u00f3 th\u1ec3 nh\u00ecn th\u1ea5y. C\u00f3 r\u1ea5t nhi\u1ec1u lo\u1ea1i h\u00ecnh thang m\u00e0 b\u1ea1n c\u00f3 th\u1ec3 b\u1eaft g\u1eb7p trong c\u00e1c b\u00e0i t\u1eadp \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang nh\u01b0 h\u00ecnh thang vu\u00f4ng, thang c\u00e2n, h\u00ecnh ch\u1eef nh\u1eadt, h\u00ecnh b\u00ecnh h\u00e0nh\u2026<\/span><\/p>\n<p><span style=\"font-weight: 400;\">C\u1ee5 th\u1ec3 l\u00e0:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">H\u00ecnh thang vu\u00f4ng: \u0110\u00e2y l\u00e0 t\u00ean g\u1ecdi c\u1ee7a m\u1ed9t h\u00ecnh thang c\u00f3 ch\u1ee9a m\u1ed9t g\u00f3c vu\u00f4ng (90 \u0111\u1ed9).<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">H\u00ecnh thang c\u00e2n: N\u1ebfu nh\u01b0 h\u00ecnh thang c\u00f3 2 g\u00f3c k\u1ec1 c\u1ea1nh \u0111\u00e1y b\u1eb1ng nhau, ta c\u00f3 th\u1ec3 g\u1ecdi \u0111\u00f3 l\u00e0 h\u00ecnh thang c\u00e2n.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">H\u00ecnh b\u00ecnh h\u00e0nh: N\u1ebfu h\u00ecnh thang c\u00f3 2 c\u1ea1nh b\u00ean b\u1eb1ng nhau, 2 c\u1ea1nh \u0111\u00e1y b\u1eb1ng nhau v\u00e0 song song v\u1edbi nhau th\u00ec ch\u00fang ta c\u00f3 th\u1ec3 g\u1ecdi \u0111\u00f3 l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">H\u00ecnh ch\u1eef nh\u1eadt: H\u00ecnh thang v\u1eeba c\u00f3 4 g\u00f3c vu\u00f4ng v\u1eeba c\u00e2n c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt.\u00a0<\/span><\/li>\n<\/ul>\n<h2><span style=\"font-weight: 400;\">C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang l\u00e0 g\u00ec?<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">\u0110\u1ec3 t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang, b\u1ea1n s\u1ebd l\u1ea5y chi\u1ec1u d\u00e0i 2 c\u1ea1nh \u0111\u00e1y c\u1ed9ng l\u1ea1i v\u1edbi nhau, sau \u0111\u00f3 t\u1ea5t c\u1ea3 nh\u00e2n cho chi\u1ec1u cao r\u1ed3i chia cho 2. Khi t\u00ednh di\u1ec7n t\u00edch, b\u1ea1n c\u1ea7n \u0111\u1ea3m b\u1ea3o t\u1ea5t c\u1ea3 c\u00e1c s\u1ed1 \u0111\u1ec1u chung m\u1ed9t \u0111\u01a1n v\u1ecb \u0111o (chi\u1ec1u d\u00e0i c\u1ea1nh \u0111\u00e1y 1 l\u00e0 cm th\u00ec chi\u1ec1u d\u00e0i c\u1ea1nh \u0111\u00e1y th\u1ee9 2 c\u0169ng l\u00e0 cm).\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ngo\u00e0i ra, trong t\u1eebng tr\u01b0\u1eddng h\u1ee3p ri\u00eang bi\u1ec7t, b\u1ea1n c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh trang nh\u01b0 sau:<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">C\u00f4ng th\u1ee9c chung<\/span><\/h3>\n<p><strong>S = h x ((a + b)\/2)<\/strong><\/p>\n<p><span style=\"font-weight: 400;\">Trong \u0111\u00f3:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Di\u1ec7n t\u00edch h\u00ecnh thang: S<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Chi\u1ec1u cao &#8211; \u0111\u01b0\u1eddng n\u1ed1i t\u1eeb \u0111\u1ec9nh \u0111\u1ebfn c\u1ea1nh \u0111\u00e1y v\u00e0 vu\u00f4ng g\u00f3c v\u1edbi c\u1ea1nh \u0111\u00e1y c\u1ee7a h\u00ecnh thang: h<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Chi\u1ec1u d\u00e0i 2 c\u1ea1nh \u0111\u00e1y: a, b.\u00a0<\/span><\/li>\n<\/ul>\n<figure id=\"attachment_298301\" aria-describedby=\"caption-attachment-298301\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-2.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-2-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-2-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"size-full wp-image-298301 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-2.jpg\" alt=\"cong-thuc-tinh-dien-tich-hinh-thang-2\" 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\"><\/picture><figcaption id=\"caption-attachment-298301\" class=\"wp-caption-text\">C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh thang th\u00f4ng th\u01b0\u1eddng<\/figcaption><\/figure>\n<h3><span style=\"font-weight: 400;\">C\u00f4ng th\u1ee9c t\u00ednh h\u00ecnh thang c\u00e2n<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">\u0110\u1ec3 t\u00ednh h\u00ecnh thang c\u00e2n, b\u1ea1n c\u1ea7n hi\u1ec3u r\u00f5 nh\u01b0 th\u1ebf n\u00e0o \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 h\u00ecnh thang c\u00e2n. H\u00ecnh thang c\u00e2n c\u00f3 hai g\u00f3c k\u1ec1 c\u1ee7a m\u1ed9t \u0111\u00e1y b\u1eb1ng v\u1edbi nhau, 2 c\u1ea1nh b\u00ean c\u00f3 chi\u1ec1u d\u00e0i b\u1eb1ng nhau nh\u01b0ng kh\u00f4ng song song nhau.\u00a0<\/span><\/p>\n<figure id=\"attachment_298302\" aria-describedby=\"caption-attachment-298302\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-3.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-3-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-3-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"size-full wp-image-298302 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-3.jpg\" alt=\"cong-thuc-tinh-dien-tich-hinh-thang-3\" 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\"><\/picture><figcaption id=\"caption-attachment-298302\" class=\"wp-caption-text\">H\u00ecnh thang c\u00e2n c\u00f3 hai g\u00f3c k\u1ec1 c\u1ee7a m\u1ed9t \u0111\u00e1y b\u1eb1ng v\u1edbi nhau, 2 c\u1ea1nh b\u00ean c\u00f3 chi\u1ec1u d\u00e0i b\u1eb1ng nhau nh\u01b0ng kh\u00f4ng song song nhau<\/figcaption><\/figure>\n<p><span style=\"font-weight: 400;\">Nh\u00ecn chung, c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang c\u00e2n <\/span><span style=\"font-weight: 400;\">c\u0169ng t\u01b0\u01a1ng t\u1ef1 v\u1edbi c\u00f4ng th\u1ee9c chung, nh\u01b0ng b\u1ea1n c\u0169ng c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng c\u00e1ch chia nh\u1ecf h\u00ecnh thang th\u00e0nh nhi\u1ec1u ph\u1ea7n \u0111\u1ec3 t\u00ednh di\u1ec7n t\u00edch, sau \u0111\u00f3 c\u1ed9ng h\u1ebft l\u1ea1i v\u1edbi nhau l\u00e0 \u0111\u01b0\u1ee3c.\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">C\u00f4ng th\u1ee9c t\u00ednh h\u00ecnh thang vu\u00f4ng<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">H\u00ecnh thang vu\u00f4ng c\u0169ng l\u00e0 m\u1ed9t lo\u1ea1i h\u00ecnh thang, nh\u01b0ng h\u00ecnh thang n\u00e0y \u0111\u1eb7c bi\u1ec7t h\u01a1n khi ch\u1ee9a 2 g\u00f3c vu\u00f4ng v\u00e0 m\u1ed9t trong 2 c\u1ea1nh b\u00ean vu\u00f4ng g\u00f3c v\u1edbi 2 \u0111\u00e1y.\u00a0<\/span><\/p>\n<figure id=\"attachment_298303\" aria-describedby=\"caption-attachment-298303\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-4.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-4-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-4-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-298303 size-full webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-4.jpg\" alt=\"cong-thuc-tinh-dien-tich-hinh-thang-4\" 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\"><\/picture><figcaption id=\"caption-attachment-298303\" class=\"wp-caption-text\">H\u00ecnh thang vu\u00f4ng ch\u1ee9a 2 g\u00f3c vu\u00f4ng v\u00e0 m\u1ed9t trong 2 c\u1ea1nh b\u00ean vu\u00f4ng g\u00f3c v\u1edbi 2 \u0111\u00e1y.<\/figcaption><\/figure>\n<p><span style=\"font-weight: 400;\">Nh\u01b0 v\u1eady, c\u00f4ng th\u1ee9c c\u1ee7a di\u1ec7n t\u00edch h\u00ecnh thang vu\u00f4ng s\u1ebd l\u00e0: L\u1ea5y trung b\u00ecnh c\u1ed9ng c\u1ee7a chi\u1ec1u d\u00e0i 2 c\u1ea1nh \u0111\u00e1y nh\u00e2n cho chi\u1ec1u cao h (h \u1edf \u0111\u00e2y \u0111\u01b0\u1ee3c hi\u1ec3u l\u00e0 c\u1ea1nh b\u00ean vu\u00f4ng g\u00f3c v\u1edbi c\u1ea3 2 \u0111\u00e1y c\u1ee7a h\u00ecnh thang). C\u00f4ng th\u1ee9c c\u1ee5 th\u1ec3 l\u00e0:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">S = 1\u20442 h (a + b).<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">H\u01b0\u1edbng d\u1eabn c\u00e1ch \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang trong b\u00e0i to\u00e1n<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">B\u1ea1n c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng h\u01b0\u1edbng d\u1eabn sau v\u00e0o trong c\u00e1c b\u00e0i to\u00e1n y\u00eau c\u1ea7u t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang:<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">T\u00ednh di\u1ec7n t\u00edch khi bi\u1ebft a, b v\u00e0 h<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Trong \u0111\u00f3, a l\u00e0 chi\u1ec1u d\u00e0i c\u1ea1nh \u0111\u00e1y 1, b l\u00e0 chi\u1ec1u d\u00e0i c\u1ea1nh \u0111\u00e1y 2, c\u00f2n h l\u00e0 chi\u1ec1u cao n\u1ed1i t\u1eeb \u0111\u1ec9nh \u0111\u1ebfn c\u1ea1nh \u0111\u00e1y v\u00e0 vu\u00f4ng g\u00f3c v\u1edbi c\u1ea1nh \u0111\u00e1y c\u1ee7a h\u00ecnh thang.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u0110\u1ec3 t\u00ednh di\u1ec7n t\u00edch khi \u0111\u00e3 bi\u1ebft c\u00e1c th\u00f4ng s\u1ed1 n\u00e0y, b\u1ea1n c\u00f3 c\u00e1c b\u01b0\u1edbc sau:<\/span><\/p>\n<h4><span style=\"font-weight: 400;\">B\u01b0\u1edbc 1: T\u00ednh t\u1ed5ng chi\u1ec1u d\u00e0i c\u1ee7a 2 c\u1ea1nh \u0111\u00e1y h\u00ecnh thang<\/span><\/h4>\n<p><span style=\"font-weight: 400;\">\u0110\u00e2y l\u00e0 d\u1ea1ng to\u00e1n kh\u00e1 \u0111\u01a1n gi\u1ea3n v\u00ec \u0111\u1ec1 \u0111\u00e3 cho g\u1ea7n h\u1ebft c\u00e1c d\u1eef ki\u1ec7n. H\u00e3y l\u1ea5y chi\u1ec1u d\u00e0i 2 c\u1ea1nh \u0111\u00e1y c\u1ed9ng l\u1ea1i v\u1edbi nhau. C\u1ea7n l\u01b0u \u00fd l\u00e0 2 c\u1ea1nh \u0111\u00e1y \u0111\u01b0\u1ee3c hi\u1ec3u l\u00e0 2 c\u1ea1nh song song v\u1edbi nhau.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u00ed d\u1ee5: Cho \u0111\u1ed9 d\u00e0i c\u1ea1nh \u0111\u00e1y b\u00ean tr\u00ean a l\u00e0 10cm, \u0111\u00e1y b\u00ean d\u01b0\u1edbi b l\u00e0 15cm, v\u1eady t\u1ed5ng \u0111\u1ed9 d\u00e0i c\u1ee7a ch\u00fang l\u00e0 a + b = 10 + 15 = 25.<\/span><\/p>\n<h4><span style=\"font-weight: 400;\">B\u01b0\u1edbc 2: T\u00ednh chi\u1ec1u cao h<\/span><\/h4>\n<p><span style=\"font-weight: 400;\">Chi\u1ec1u cao h ch\u00ednh l\u00e0 kho\u1ea3ng n\u1ed1i li\u1ec1n gi\u1eefa 2 c\u1ea1nh \u0111\u00e1y, n\u00ean b\u1ea1n ch\u1ec9 c\u1ea7n v\u1ebd th\u00eam 1 \u0111\u01b0\u1eddng th\u1eb3ng t\u1eeb tr\u00ean xu\u1ed1ng d\u01b0\u1edbi, mi\u1ec5n sao \u0111\u01b0\u1eddng th\u1eb3ng \u0111\u00f3 vu\u00f4ng g\u00f3c v\u1edbi c\u1ea1nh \u0111\u00e1y l\u00e0 \u0111\u01b0\u1ee3c. B\u1ea1n c\u00f3 th\u1ec3 d\u00f9ng th\u01b0\u1edbc \u0111o \u0111\u1ec3 \u0111o chi\u1ec1u cao n\u1ebfu \u0111\u1ec1 kh\u00f4ng cho s\u1eb5n th\u00f4ng s\u1ed1, ho\u1eb7c t\u00ednh to\u00e1n t\u1eeb nh\u1eefng d\u1eef ki\u1ec7n kh\u00e1c \u0111\u1ec3 t\u00ecm ra h.\u00a0<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-5.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-5-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-5-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-298304 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-5.jpg\" alt=\"cong-thuc-tinh-dien-tich-hinh-thang-5\" 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\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">C\u1ea7n l\u01b0u \u00fd l\u00e0 chi\u1ec1u cao trong c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang kh\u00f4ng \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng \u0111\u1ed9 d\u00e0i c\u1ee7a hai c\u1ea1nh b\u00ean, ngo\u1ea1i tr\u1eeb tr\u01b0\u1eddng h\u1ee3p \u0111\u00f3 l\u00e0 h\u00ecnh thang vu\u00f4ng. Trong h\u00ecnh thang vu\u00f4ng s\u1ebd c\u00f3 m\u1ed9t c\u1ea1nh b\u00ean vu\u00f4ng g\u00f3c v\u1edbi 2 c\u1ea1nh \u0111\u00e1y n\u00ean b\u1ea1n c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng chi\u1ec1u c\u1ea1nh c\u1ea1nh \u0111\u00f3 nh\u01b0 chi\u1ec1u cao.\u00a0<\/span><\/p>\n<h4><span style=\"font-weight: 400;\">B\u01b0\u1edbc 3: L\u1ea5y t\u1ed5ng chi\u1ec1u d\u00e0i 2 \u0111\u00e1y (a + b) nh\u00e2n v\u1edbi chi\u1ec1u cao (h).<\/span><\/h4>\n<p><span style=\"font-weight: 400;\">Sau khi th\u1ef1c hi\u1ec7n xong b\u01b0\u1edbc 1 v\u00e0 b\u01b0\u1edbc 2, b\u1ea1n c\u00f3 th\u1ec3 l\u1ea5y (a + b) x h &#8211; t\u1ee9c l\u00e0 nh\u00e2n chi\u1ec1u cao v\u1edbi t\u1ed5ng \u0111\u1ed9 d\u00e0i 2 \u0111\u00e1y. \u0110\u1eebng qu\u00ean \u0111\u1ed5i c\u00e1c s\u1ed1 li\u1ec7u v\u1ec1 c\u00f9ng m\u1ed9t \u0111\u01a1n v\u1ecb \u0111\u1ec3 ph\u00e9p t\u00ednh ch\u00ednh x\u00e1c. Ch\u1eb3ng h\u1ea1n nh\u01b0 ta c\u00f3: (a+ b) x h = (10 + 15) x 5 = 125 (cm2).\u00a0<\/span><\/p>\n<h4><span style=\"font-weight: 400;\">B\u01b0\u1edbc 4: L\u1ea5y k\u1ebft qu\u1ea3 chia 2 (ho\u1eb7c nh\u00e2n v\u1edbi \u00bd) \u0111\u1ec3 t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang.<\/span><\/h4>\n<p><span style=\"font-weight: 400;\">B\u00e2y gi\u1edd, ch\u00fang ta \u0111\u00e3 c\u00f3 th\u1ec3 ho\u00e0n t\u1ea5t ph\u00e9p t\u00ednh v\u1edbi c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang. \u1ede b\u01b0\u1edbc n\u00e0y, b\u1ea1n ch\u1ec9 c\u1ea7n l\u1ea5y t\u00edch gi\u1eefa chi\u1ec1u cao nh\u00e2n v\u1edbi t\u1ed5ng 2 \u0111\u00e1y c\u1ee7a h\u00ecnh thang nh\u00e2n cho \u00bd (ho\u1eb7c chia cho 2) l\u00e0 ra k\u1ebft qu\u1ea3 cu\u1ed1i c\u00f9ng. Ch\u1eb3ng h\u1ea1n nh\u01b0:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">S = (a+ b) x h = (10 + 15) x 5 x 1\/2 = 62.5 (cm2).\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">T\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang vu\u00f4ng<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Nh\u00ecn chung, b\u1ea1n v\u1eabn c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c v\u00e0 h\u01b0\u1edbng d\u1eabn tr\u00ean \u0111\u1ec3 t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang vu\u00f4ng, nh\u01b0ng b\u1ea1n s\u1ebd kh\u00f4ng c\u1ea7n ph\u1ea3i k\u1ebb th\u00eam \u0111\u01b0\u1eddng cao, v\u00ec chi\u1ec1u cao c\u1ee7a h\u00ecnh thang vu\u00f4ng c\u0169ng ch\u00ednh l\u00e0 c\u1ea1nh b\u00ean vu\u00f4ng g\u00f3c v\u1edbi c\u1ea1nh \u0111\u00e1y. L\u00fac n\u00e0y, b\u1ea1n c\u00f3 th\u1ec3 l\u1ea5y \u0111\u1ed9 d\u00e0i c\u1ee7a c\u1ea1nh b\u00ean \u0111\u00f3 l\u00e0m chi\u1ec1u cao v\u00e0 th\u1ef1c hi\u1ec7n t\u00ednh to\u00e1n nh\u01b0 c\u00e1c b\u01b0\u1edbc tr\u00ean.\u00a0<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-6.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-6-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-6-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-298305 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-6.jpg\" alt=\"cong-thuc-tinh-dien-tich-hinh-thang-6\" 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\"><\/picture><\/p>\n<h3><span style=\"font-weight: 400;\">T\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang khi bi\u1ebft \u0111\u1ed9 d\u00e0i 4 c\u1ea1nh &#8211; \u00c1p d\u1ee5ng cho h\u00ecnh thang c\u00e2n<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Khi b\u1ea1n ch\u1ec9 bi\u1ebft \u0111\u1ed9 d\u00e0i c\u1ea1nh b\u00ean, b\u1ea1n c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang v\u1edbi c\u00e1c b\u01b0\u1edbc c\u01a1 b\u1ea3n sau:<\/span><\/p>\n<h4><span style=\"font-weight: 400;\">B\u01b0\u1edbc 1: Chia h\u00ecnh thang th\u00e0nh c\u00e1c h\u00ecnh nh\u1ecf h\u01a1n (2 tam gi\u00e1c vu\u00f4ng, 1 h\u00ecnh ch\u1eef nh\u1eadt).<\/span><\/h4>\n<p><span style=\"font-weight: 400;\">C\u1ea7n l\u01b0u \u00fd l\u00e0 c\u00e1ch n\u00e0y ch\u1ec9 c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng cho h\u00ecnh thang c\u00e2n. \u0110\u1ea7u ti\u00ean, b\u1ea1n ti\u1ebfn h\u00e0nh k\u1ebb th\u00eam 2 \u0111\u01b0\u1eddng th\u1eb3ng, m\u1ed7i \u0111\u01b0\u1eddng th\u1eb3ng b\u1eaft ngu\u1ed3n t\u1eeb 1 g\u00f3c c\u1ee7a c\u1ea1nh \u0111\u00e1y tr\u00ean n\u1ed1i v\u1edbi c\u1ea1nh \u0111\u00e1y b\u00ean d\u01b0\u1edbi sao cho\u00a0 \u0111\u01b0\u1eddng th\u1eb3ng \u0111\u00f3 vu\u00f4ng g\u00f3c v\u1edbi c\u1ea1nh \u0111\u00e1y d\u01b0\u1edbi. Khi \u0111\u00f3, b\u00ean trong h\u00ecnh thang s\u1ebd h\u00ecnh th\u00e0nh 1 h\u00ecnh ch\u1eef nh\u1eadt v\u00e0 2 tam gi\u00e1c vu\u00f4ng c\u00f3 c\u1ea1nh huy\u1ec1n b\u1eb1ng nhau.<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-7.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-7-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-7-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-298306 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-7.jpg\" alt=\"cong-thuc-tinh-dien-tich-hinh-thang-7\" 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\"><\/picture><\/p>\n<h4><span style=\"font-weight: 400;\">B\u01b0\u1edbc 2: T\u00ecm chi\u1ec1u d\u00e0i c\u1ea1nh \u0111\u00e1y tam gi\u00e1c<\/span><\/h4>\n<p><span style=\"font-weight: 400;\">B\u00e2y gi\u1edd, b\u1ea1n l\u1ea5y chi\u1ec1u d\u00e0i c\u1ee7a c\u1ea1nh \u0111\u00e1y tr\u00ean tr\u1eeb cho chi\u1ec1u d\u00e0i c\u1ee7a c\u1ea1nh \u0111\u00e1y d\u01b0\u1edbi trong h\u00ecnh thang, sau \u0111\u00f3 chia 2 s\u1ebd t\u00ecm ra \u0111\u1ed9 d\u00e0i c\u1ee7a \u0111\u00e1y h\u00ecnh tam gi\u00e1c vu\u00f4ng.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Gi\u1ea3 s\u1eed: \u0110\u1ec1 b\u00e0i cho h\u00ecnh thang c\u00f3 c\u1ea1nh \u0111\u00e1y tr\u00ean a = 7cm, c\u1ea1nh \u0111\u00e1y d\u01b0\u1edbi b = 15cm, g\u1ecdi X l\u00e0 c\u1ea1nh \u0111\u00e1y h\u00ecnh tam gi\u00e1c, \u0111\u1ec3 t\u00ednh X, ta c\u00f3 c\u00f4ng th\u1ee9c X = (b &#8211; a) \/ 2 = (15 &#8211; 7) \/ 2 = 4 (cm).\u00a0<\/span><\/p>\n<h4><span style=\"font-weight: 400;\">B\u01b0\u1edbc 3: S\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c t\u00ednh tam gi\u00e1c vu\u00f4ng \u0111\u1ec3 t\u00ecm chi\u1ec1u cao cho h\u00ecnh thang.<\/span><\/h4>\n<p><span style=\"font-weight: 400;\">B\u00e2y gi\u1edd, b\u1ea1n \u0111\u00e3 c\u00f3 \u0111\u1ed9 d\u00e0i c\u1ea1nh \u0111\u00e1y v\u00e0 c\u1ea1nh huy\u1ec1n c\u1ee7a tam gi\u00e1c vu\u00f4ng, h\u00e3y s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c Pytago \u0111\u1ec3 t\u00ednh ra \u0111\u1ed9 d\u00e0i c\u1ea1nh g\u00f3c vu\u00f4ng c\u00f2n l\u1ea1i v\u00e0 \u00e1p d\u1ee5ng cho c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang \u1edf b\u01b0\u1edbc 4:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">C\u00f4ng th\u1ee9c tam gi\u00e1c vu\u00f4ng theo Pytago l\u00e0:\u00a0<\/span><\/p>\n<p><strong>c2 = a2 + b2<\/strong><\/p>\n<p><span style=\"font-weight: 400;\">Trong \u0111\u00f3:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">2 c\u1ea1nh g\u00f3c vu\u00f4ng: a, b<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">C\u1ea1nh huy\u1ec1n: c<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">N\u1ebfu \u0111\u00e3 c\u00f3 a v\u00e0 c, ta c\u00f3 th\u1ec3 t\u00ecm ra b b\u1eb1ng c\u00f4ng th\u1ee9c: b2 = c2 &#8211; a2.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u00ed d\u1ee5: Sau khi t\u00ednh \u0111\u01b0\u1ee3c c\u1ea1nh \u0111\u00e1y c\u1ee7a tam gi\u00e1c vu\u00f4ng l\u00e0 4cm, c\u1ed9ng v\u1edbi \u0111\u1ec1 b\u00e0i cho c\u1ea1nh huy\u1ec1n l\u00e0 5cm, ta s\u1ebd t\u00ecm ra \u0111\u1ed9 d\u00e0i c\u1ea1nh g\u00f3c vu\u00f4ng c\u00f2n l\u1ea1i (c\u0169ng t\u1ee9c l\u00e0 chi\u1ec1u cao c\u1ee7a h\u00ecnh thang) l\u00e0:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">b2 = c2 &#8211; a2 = (5)^2 &#8211; (4)^2 = 25 &#8211; 16 = 9 = (3)^2 (cm).<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u1eady, c\u1ea1nh g\u00f3c vu\u00f4ng c\u00f2n l\u1ea1i c\u1ee7a tam gi\u00e1c (hay chi\u1ec1u cao h\u00ecnh thang) l\u00e0 3cm.<\/span><\/p>\n<h4><span style=\"font-weight: 400;\">B\u01b0\u1edbc 4: T\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang v\u1edbi c\u00e1c th\u00f4ng s\u1ed1 \u0111\u00e3 c\u00f3.<\/span><\/h4>\n<p><span style=\"font-weight: 400;\">B\u00e2y gi\u1edd, sau khi \u0111\u00e3 c\u00f3 \u0111\u1ee7 th\u00f4ng s\u1ed1 c\u1ea7n thi\u1ebft trong c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang, b\u1ea1n ch\u1ec9 c\u1ea7n thay s\u1ed1 v\u00e0o c\u00f4ng th\u1ee9c S = \u00bd (b1 + b2) x h\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Nh\u01b0 v\u1eady, t\u01b0\u01a1ng t\u1ef1 v\u1edbi c\u00e1c v\u00ed d\u1ee5 tr\u00ean, b\u1ea1n s\u1ebd c\u00f3 di\u1ec7n t\u00edch h\u00ecnh thang l\u00e0:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">S = \u00bd x (7 + 15) x 3 =33 (cm2)<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">B\u00e0i t\u1eadp \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang, h\u00ecnh thang vu\u00f4ng\u00a0<\/span><\/h2>\n<p>D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 b\u00e0i t\u1eadp m\u00e0 b\u1ea1n c\u00f3 th\u1ec3 tham kh\u1ea3o:<\/p>\n<p><span style=\"font-weight: 400;\">B\u00e0i 1: Cho chi\u1ec1u d\u00e0i 2 c\u1ea1nh \u0111\u00e1y v\u00e0 chi\u1ec1u cao l\u1ea7n l\u01b0\u1ee3t l\u00e0 10cm, 12 cm v\u00e0 7 cm, t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang \u0111\u00f3?<\/span><\/p>\n<p><span style=\"font-weight: 400;\">C\u00e1ch gi\u1ea3i: Ta c\u00f3: S = h x ((a + b)\/2) = 7 x ((10 + 12)\/2) = 77 (cm2).\u00a0<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-8.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-8-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-8-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-298307 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cong-thuc-tinh-dien-tich-hinh-thang-8.jpg\" alt=\"cong-thuc-tinh-dien-tich-hinh-thang-8\" 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\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">B\u00e0i 2: M\u1ed9t mi\u1ebfng \u0111\u1ea5t h\u00ecnh thang c\u00f3 \u0111\u00e1y l\u1edbn, \u0111\u00e1y b\u00e9 l\u1ea7n l\u01b0\u1ee3t l\u00e0 20m v\u00e0 24m. Sau n\u00e0y, ng\u01b0\u1eddi ta \u0111\u00e3 m\u1edf r\u1ed9ng 2 \u0111\u00e1y l\u1edbn, \u0111\u00e1y b\u00e9 c\u1ee7a m\u1ea3nh \u0111\u1ea5t v\u1edbi s\u1ed1 li\u1ec7u l\u1ea7n l\u01b0\u1ee3t l\u00e0 3m v\u00e0 5m, di\u1ec7n t\u00edch l\u00fac b\u1ea5y gi\u1edd \u0111\u00e3 t\u0103ng th\u00eam 38m2 so v\u1edbi ban \u0111\u1ea7u. H\u1ecfi, di\u1ec7n t\u00edch ban \u0111\u1ea7u c\u1ee7a m\u1ea3nh \u0111\u1ea5t l\u00e0 bao nhi\u00eau cm2?\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">C\u00e1ch gi\u1ea3i: Chi\u1ec1u cao c\u1ee7a m\u1ea3nh \u0111\u1ea5t sau khi t\u0103ng l\u00e0: h = (S x 2) : (a + b) = (38 x 2) : (3 + 5) = 9,5 m. V\u1eady, di\u1ec7n t\u00edch m\u1ea3nh \u0111\u1ea5t khi ch\u01b0a m\u1edf r\u1ed9ng l\u00e0: S = 9.5 x (20 + 24)\/2 = 209 m2.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">B\u00e0i 3: Kho\u1ea3ng c\u00e1ch gi\u1eefa 2 \u0111\u00e1y c\u1ee7a h\u00ecnh thang vu\u00f4ng l\u00e0 20cm. Trong \u0111\u00f3, \u0111\u00e1y nh\u1ecf b\u1eb1ng 1\/3 \u0111\u00e1y l\u1edbn. \u0110\u01b0\u1ee3c bi\u1ebft, di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh l\u00e0 200cm2, v\u1eady \u0111\u1ed9 d\u00e0i hai \u0111\u00e1y c\u1ee7a h\u00ecnh thang vu\u00f4ng \u0111\u00f3 l\u00e0 bao nhi\u00eau?<\/span><\/p>\n<p><span style=\"font-weight: 400;\">C\u00e1ch gi\u1ea3i:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ta c\u00f3 t\u1ed5ng \u0111\u1ed9 d\u00e0i c\u1ee7a 2 \u0111\u00e1y b\u1eb1ng (200 x 2)\/20 = 20 cm.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">G\u1ecdi \u0111\u1ed9 d\u00e0i \u0111\u00e1y b\u00e9 v\u00e0 \u0111\u00e1y l\u1edbn l\u1ea7n l\u01b0\u1ee3t l\u00e0 x, y:\u00a0<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">a = 1\/3 b<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">a + b = 20<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">=&gt; a = 5, b = 15<\/span><\/p>\n<p><span style=\"font-weight: 400;\">B\u00e0i 4: Cho h\u00ecnh XYML vu\u00f4ng t\u1ea1i X, c\u00f3 XY = 12 cm, ML = 15cm, XL = 8cm, h\u00e3y t\u00ednh di\u1ec7n t\u00edch XYML:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">S = (XY + ML) x XL\/2 = (12 + 15) x 8\/2 = 108 cm2.\u00a0<\/span><\/p>\n<h2>L\u1eddi k\u1ebft<\/h2>\n<p><span style=\"font-weight: 400;\">Nh\u01b0 v\u1eady, b\u00e0i vi\u1ebft tr\u00ean \u0111\u00e3 cung c\u1ea5p \u0111\u1ebfn qu\u00fd b\u1ea1n \u0111\u1ecdc c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang, h\u00ecnh thang vu\u00f4ng v\u00e0 m\u1ed9t s\u1ed1 b\u00e0i t\u1eadp tham kh\u1ea3o. Nh\u00ecn chung, \u0111\u00e2y kh\u00f4ng ph\u1ea3i l\u00e0 m\u1ed9t b\u00e0i to\u00e1n kh\u00f3, nh\u01b0ng \u0111\u1ec3 gi\u1ea3i \u0111\u00fang v\u00e0 nhanh, h\u1ecdc sinh c\u1ea7n n\u1eafm r\u00f5 c\u00f4ng th\u1ee9c v\u00e0 \u00e1p d\u1ee5ng m\u1ed9t c\u00e1ch ph\u00f9 h\u1ee3p trong nh\u1eefng tr\u01b0\u1eddng h\u1ee3p c\u1ee5 th\u1ec3.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Xem th\u00eam:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/giai-phuong-trinh-bac-2\/\">C\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc 2 nhanh ch\u00f3ng nh\u1ea5t<\/a><\/strong><\/li>\n<li style=\"font-weight: 400;\"><strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-hinh-chu-nhat\/\">C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh ch\u1eef nh\u1eadt ch\u00ednh x\u00e1c nh\u1ea5t<\/a><\/strong><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Trong to\u00e1n h\u1ecdc, c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng kh\u00e1 ph\u1ed5 bi\u1ebfn v\u00e0 n\u00f3 \u0111\u01b0\u1ee3c xem nh\u01b0 c\u00f4ng th\u1ee9c n\u1ec1n t\u1ea3ng \u0111\u1ec3 h\u1ecdc sinh gi\u1ea3i c\u00e1c b\u00e0i to\u00e1n ph\u1ee9c t\u1ea1p \u1edf c\u1ea5p \u0111\u1ed9 cao h\u01a1n. V\u1eady n\u00ean, vi\u1ec7c n\u1eafm v\u1eefng v\u00e0 \u00e1p d\u1ee5ng thu\u1ea7n th\u1ee5c c\u00f4ng th\u1ee9c n\u00e0y l\u00e0 v\u00f4 c\u00f9ng [&hellip;]<\/p>\n","protected":false},"author":97,"featured_media":298299,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"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 v24.2 (Yoast SEO v24.2) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang &amp; h\u00ecnh thang vu\u00f4ng k\u00e8m v\u00ed d\u1ee5<\/title>\n<meta name=\"description\" content=\"Trong to\u00e1n h\u1ecdc, c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng kh\u00e1 ph\u1ed5 bi\u1ebfn. 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