{"id":257,"date":"2019-12-05T18:30:28","date_gmt":"2019-12-05T18:30:28","guid":{"rendered":"http:\/\/mathfun4kids.com\/mlog\/?p=257"},"modified":"2020-10-13T18:31:13","modified_gmt":"2020-10-13T18:31:13","slug":"problem-of-the-day-december-5-2019","status":"publish","type":"post","link":"https:\/\/mathfun4kids.com\/mlog\/?p=257","title":{"rendered":"Problem of the Day &#8211; December 5, 2019"},"content":{"rendered":"\n<p>In $\\triangle ABC$, $\\dfrac{AD}{BD} = \\dfrac{1}{2}$, $\\dfrac{BE}{EC} = \\dfrac{1}{3}$, and $\\dfrac{AF}{CF} = \\dfrac{3}{2}$. What is the ratio of the area of $\\triangle GHI$ to $\\triangle ABC$?<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" src=\"https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2020\/10\/Screen-Shot-2019-12-06-at-12.59.35-AM.png\" alt=\"\" class=\"wp-image-259\" width=\"384\" height=\"248\" srcset=\"https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2020\/10\/Screen-Shot-2019-12-06-at-12.59.35-AM.png 768w, https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2020\/10\/Screen-Shot-2019-12-06-at-12.59.35-AM-300x194.png 300w\" sizes=\"(max-width: 384px) 100vw, 384px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>In $\\triangle ABC$, $\\dfrac{AD}{BD} = \\dfrac{1}{2}$, $\\dfrac{BE}{EC} = \\dfrac{1}{3}$, and $\\dfrac{AF}{CF} = \\dfrac{3}{2}$. What is the ratio of the area of $\\triangle GHI$ to $\\triangle ABC$?<\/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\/257"}],"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=257"}],"version-history":[{"count":2,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/257\/revisions"}],"predecessor-version":[{"id":260,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/257\/revisions\/260"}],"wp:attachment":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=257"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=257"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=257"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}