{"id":263,"date":"2019-11-17T19:21:54","date_gmt":"2019-11-17T19:21:54","guid":{"rendered":"http:\/\/mathfun4kids.com\/mlog\/?p=263"},"modified":"2020-10-14T22:25:31","modified_gmt":"2020-10-14T22:25:31","slug":"problem-of-the-day-november-17-2019","status":"publish","type":"post","link":"https:\/\/mathfun4kids.com\/mlog\/?p=263","title":{"rendered":"Problem of the Day &#8211; November 17, 2019"},"content":{"rendered":"\n<p>In the figure below, $D$\u00a0is the middle point of\u00a0line $\\overline{AB}$, $E$\u00a0is the middle point of\u00a0$\\overline{BC}$. $\\overline{AE}$ and $\\overline{CD}$ intersect at $F$. What is the area ratio $\\triangle DEF$ and $\\triangle ABC$?<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" src=\"https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2020\/10\/Screen-Shot-2019-11-15-at-1.01.52-PM-1024x701.png\" alt=\"\" class=\"wp-image-264\" width=\"512\" height=\"351\" srcset=\"https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2020\/10\/Screen-Shot-2019-11-15-at-1.01.52-PM-1024x701.png 1024w, https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2020\/10\/Screen-Shot-2019-11-15-at-1.01.52-PM-300x205.png 300w, https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2020\/10\/Screen-Shot-2019-11-15-at-1.01.52-PM-768x525.png 768w, https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2020\/10\/Screen-Shot-2019-11-15-at-1.01.52-PM.png 1064w\" sizes=\"(max-width: 512px) 100vw, 512px\" \/><\/figure><\/div>\n","protected":false},"excerpt":{"rendered":"<p>In the figure below, $D$\u00a0is the middle point of\u00a0line $\\overline{AB}$, $E$\u00a0is the middle point of\u00a0$\\overline{BC}$. $\\overline{AE}$ and $\\overline{CD}$ intersect at $F$. What is the area ratio $\\triangle DEF$ and $\\triangle ABC$?<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[14,9],"tags":[],"_links":{"self":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/263"}],"collection":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=263"}],"version-history":[{"count":1,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/263\/revisions"}],"predecessor-version":[{"id":265,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/263\/revisions\/265"}],"wp:attachment":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=263"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=263"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=263"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}