{"id":11264,"date":"2022-06-30T01:35:31","date_gmt":"2022-06-29T20:05:31","guid":{"rendered":"https:\/\/mathemerize.com\/?p=11264"},"modified":"2022-06-30T01:35:34","modified_gmt":"2022-06-29T20:05:34","slug":"in-figures-i-and-ii-de-bc-find-ec-in-i-and-ad-in-ii","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/in-figures-i-and-ii-de-bc-find-ec-in-i-and-ad-in-ii\/","title":{"rendered":"In figures, (i) and (ii) DE || BC. Find EC in (i) and AD in (ii)."},"content":{"rendered":"

Solution :<\/h2>\n

\"figures\"<\/p>\n

(i)<\/strong>\u00a0 In figure (i)<\/p>\n

Since DE || BC, therefore<\/p>\n

\\(AD\\over DB\\) = \\(AE\\over EC\\)<\/p>\n

\\(\\implies\\)\u00a0 \\(1.5\\over 3\\) = \\(1\\over EC\\)<\/p>\n

\\(\\implies\\)\u00a0 EC = 2 cm<\/strong>.<\/p>\n

(ii)<\/strong>\u00a0 In figure (ii),<\/p>\n

Since DE || BC, therefore<\/p>\n

\\(AD\\over DB\\) = \\(AE\\over EC\\)<\/p>\n

\\(\\implies\\)\u00a0 \\(AD\\over 7.2\\) = \\(1.8\\over 5.4\\)<\/p>\n

\\(\\implies\\)\u00a0 AD = 2.4 cm<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"

Solution : (i)\u00a0 In figure (i) Since DE || BC, therefore \\(AD\\over DB\\) = \\(AE\\over EC\\) \\(\\implies\\)\u00a0 \\(1.5\\over 3\\) = \\(1\\over EC\\) \\(\\implies\\)\u00a0 EC = 2 cm. (ii)\u00a0 In figure (ii), Since DE || BC, therefore \\(AD\\over DB\\) = \\(AE\\over EC\\) \\(\\implies\\)\u00a0 \\(AD\\over 7.2\\) = \\(1.8\\over 5.4\\) \\(\\implies\\)\u00a0 AD = 2.4 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":"\nIn figures, (i) and (ii) DE || BC. Find EC in (i) and AD in (ii). - 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\/in-figures-i-and-ii-de-bc-find-ec-in-i-and-ad-in-ii\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"In figures, (i) and (ii) DE || BC. Find EC in (i) and AD in (ii). - Mathemerize\" \/>\n<meta property=\"og:description\" content=\"Solution : (i)\u00a0 In figure (i) Since DE || BC, therefore (ADover DB) = (AEover EC) (implies)\u00a0 (1.5over 3) = (1over EC) (implies)\u00a0 EC = 2 cm. (ii)\u00a0 In figure (ii), Since DE || BC, therefore (ADover DB) = (AEover EC) (implies)\u00a0 (ADover 7.2) = (1.8over 5.4) (implies)\u00a0 AD = 2.4 cm.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathemerize.com\/in-figures-i-and-ii-de-bc-find-ec-in-i-and-ad-in-ii\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathemerize\" \/>\n<meta property=\"article:published_time\" content=\"2022-06-29T20:05:31+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-06-29T20:05:34+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathemerize.com\/wp-content\/uploads\/2022\/06\/similar-triangles-6-2-1-300x99.jpeg\" \/>\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\/in-figures-i-and-ii-de-bc-find-ec-in-i-and-ad-in-ii\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/in-figures-i-and-ii-de-bc-find-ec-in-i-and-ad-in-ii\/\"},\"author\":{\"name\":\"mathemerize\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df\"},\"headline\":\"In figures, (i) and (ii) DE || BC. 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