<p>In triangle \(ABC\), \(E\) is the midpoint of \(AC\) and \(F\) is the midpoint of \(BE\). \(EH\) is parallel to \(AFD\). \(EH\) and \(FC\) intersect at \(G\). Prove that</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/public/question-images/pasted/1770111656005-k7l8hp53pho.png" style="max-width: min(220px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="i-list"><li data-list-item-id="item-i"><div class="list-item-content"><span class="list-item-text">\(EH = 2FD\), and</span></div></li><li data-list-item-id="item-ii"><div class="list-item-content"><span class="list-item-text">\(AF = 3FD\).</span></div></li></ol>

In triangle \(ABC\), \(E\) is the midpoint of \(AC\) and \(F\) is the midpoint of \(BE\). \(EH\) is parallel to \(AFD\). \(EH\) and \(FC\) intersect at \(G\). Prove that

Proofs in Plane Geometry

Proofs in Plane Geometry

Solution:

Typed Solution