{"id":11420,"date":"2022-07-08T22:58:14","date_gmt":"2022-07-08T17:28:14","guid":{"rendered":"https:\/\/mathemerize.com\/?p=11420"},"modified":"2022-07-08T22:58:18","modified_gmt":"2022-07-08T17:28:18","slug":"sides-of-two-similar-triangles-are-in-the-ratio-4-9-area-of-these-triangles-are-in-the-ratio-a-2-3-b-4-9-c-81-16-d-16-81","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/sides-of-two-similar-triangles-are-in-the-ratio-4-9-area-of-these-triangles-are-in-the-ratio-a-2-3-b-4-9-c-81-16-d-16-81\/","title":{"rendered":"Sides of two similar triangles are in the ratio 4 : 9. Area of these triangles are in the ratio  (a) 2 : 3 (b) 4 : 9 (c) 81 : 16 (d) 16 : 81"},"content":{"rendered":"<h2>Solution :<\/h2>\n<p>Since the ration of the areas of two similar triangles is equal to the ratio of the squares of any two corresponding sides, therefore<\/p>\n<p>ratio of areas = \\((4)^2\\) : \\((9)^2\\) = 16 : 81<\/p>\n<p>\\(\\therefore\\)\u00a0 <strong>(d) is the correct answer<\/strong>,<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solution : Since the ration of the areas of two similar triangles is equal to the ratio of the squares of any two corresponding sides, therefore ratio of areas = \\((4)^2\\) : \\((9)^2\\) = 16 : 81 \\(\\therefore\\)\u00a0 (d) is the correct answer,<\/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":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Sides of two similar triangles are in the ratio 4 : 9. Area of these triangles are in the ratio (a) 2 : 3 (b) 4 : 9 (c) 81 : 16 (d) 16 : 81 - Mathemerize<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/sides-of-two-similar-triangles-are-in-the-ratio-4-9-area-of-these-triangles-are-in-the-ratio-a-2-3-b-4-9-c-81-16-d-16-81\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Sides of two similar triangles are in the ratio 4 : 9. Area of these triangles are in the ratio (a) 2 : 3 (b) 4 : 9 (c) 81 : 16 (d) 16 : 81 - Mathemerize\" \/>\n<meta property=\"og:description\" content=\"Solution : Since the ration of the areas of two similar triangles is equal to the ratio of the squares of any two corresponding sides, therefore ratio of areas = ((4)^2) : ((9)^2) = 16 : 81 (therefore)\u00a0 (d) is the correct answer,\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathemerize.com\/sides-of-two-similar-triangles-are-in-the-ratio-4-9-area-of-these-triangles-are-in-the-ratio-a-2-3-b-4-9-c-81-16-d-16-81\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathemerize\" \/>\n<meta property=\"article:published_time\" content=\"2022-07-08T17:28:14+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-07-08T17:28:18+00:00\" \/>\n<meta name=\"author\" content=\"mathemerize\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"mathemerize\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathemerize.com\/sides-of-two-similar-triangles-are-in-the-ratio-4-9-area-of-these-triangles-are-in-the-ratio-a-2-3-b-4-9-c-81-16-d-16-81\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/sides-of-two-similar-triangles-are-in-the-ratio-4-9-area-of-these-triangles-are-in-the-ratio-a-2-3-b-4-9-c-81-16-d-16-81\/\"},\"author\":{\"name\":\"mathemerize\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df\"},\"headline\":\"Sides of two similar triangles are in the ratio 4 : 9. 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