{"id":11402,"date":"2022-07-08T22:21:59","date_gmt":"2022-07-08T16:51:59","guid":{"rendered":"https:\/\/mathemerize.com\/?p=11402"},"modified":"2022-07-08T22:22:03","modified_gmt":"2022-07-08T16:52:03","slug":"triangle-abc-triangle-def-and-their-areas-are-respectively-64-cm2-and-121-cm2-if-ef-15-4-cm-find-bc","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/triangle-abc-triangle-def-and-their-areas-are-respectively-64-cm2-and-121-cm2-if-ef-15-4-cm-find-bc\/","title":{"rendered":"\\(\\triangle\\) ABC ~ \\(\\triangle\\) DEF and their areas are respectively 64 \\(cm^2\\) and 121 \\(cm^2\\). If EF = 15.4 cm, find BC."},"content":{"rendered":"
We have,\u00a0 \u00a0 area of triangle ABC = 64 \\(cm^2\\)<\/p>\n
and area of triangle DEF = 121 \\(cm^2\\)<\/p>\n
We know that,<\/p>\n
\\(ar(\\triangle ABC)\\over ar(\\triangle DEF)\\) = \\(({BC\\over EF})^2\\)<\/p>\n
\\(\\implies\\)\u00a0 \\(64\\over 121\\) = \\(({BC\\over 15.4})^2\\)<\/p>\n
\\(\\implies\\) \\(8\\over 11\\) = \\(BC\\over 15.4\\)<\/p>\n
\\(\\implies\\) BC = 11.2 cm.<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":" Solution : We have,\u00a0 \u00a0 area of triangle ABC = 64 \\(cm^2\\) and area of triangle DEF = 121 \\(cm^2\\) We know that, \\(ar(\\triangle ABC)\\over ar(\\triangle DEF)\\) = \\(({BC\\over EF})^2\\) \\(\\implies\\)\u00a0 \\(64\\over 121\\) = \\(({BC\\over 15.4})^2\\) \\(\\implies\\) \\(8\\over 11\\) = \\(BC\\over 15.4\\) \\(\\implies\\) BC = 11.2 cm.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[43,912],"tags":[],"yoast_head":"\n