{"id":2543,"date":"2022-01-24T12:56:00","date_gmt":"2022-01-24T16:56:00","guid":{"rendered":"http:\/\/mathfun4kids.com\/mlog\/?p=2543"},"modified":"2024-10-25T11:20:05","modified_gmt":"2024-10-25T15:20:05","slug":"mathcounts-exercise-01-24-2022","status":"publish","type":"post","link":"https:\/\/mathfun4kids.com\/mlog\/?p=2543","title":{"rendered":"MATHCOUNTS Exercise &#8211; 01\/24\/2022"},"content":{"rendered":"\n<p>In unit square $ABCD$, $E$ and $F$ are midpoints of $CD$ and $AD$ respectively. Line $AE$ and $CF$ intersect at $G$. $M$ and $N$ are incenters of $\\triangle{AFG}$ and $\\triangle{CEG}$. Find $MN$.<\/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\/2022\/03\/Screen-Shot-2022-03-20-at-8.50.06-AM.png\" alt=\"\" class=\"wp-image-2546\" width=\"210\" height=\"210\" srcset=\"https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2022\/03\/Screen-Shot-2022-03-20-at-8.50.06-AM.png 800w, https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2022\/03\/Screen-Shot-2022-03-20-at-8.50.06-AM-300x300.png 300w, https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2022\/03\/Screen-Shot-2022-03-20-at-8.50.06-AM-150x150.png 150w, https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2022\/03\/Screen-Shot-2022-03-20-at-8.50.06-AM-768x768.png 768w\" sizes=\"(max-width: 210px) 100vw, 210px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>In unit square $ABCD$, $E$ and $F$ are midpoints of $CD$ and $AD$ respectively. Line $AE$ and $CF$ intersect at $G$. $M$ and $N$ are incenters of $\\triangle{AFG}$ and $\\triangle{CEG}$. Find $MN$.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[14,9,11],"tags":[],"_links":{"self":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/2543"}],"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=2543"}],"version-history":[{"count":3,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/2543\/revisions"}],"predecessor-version":[{"id":4605,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/2543\/revisions\/4605"}],"wp:attachment":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2543"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2543"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2543"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}