<p>In \(\Delta ABC\), \(E\) is the midpoint of \(AC\). \(AD\) and \(BE\) intersect at \(F\), which is the midpoint of \(BE\). \(FC\) and \(EH\) intersect at \(G\).</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Given that \(AD\) is parallel to \(EH\), prove that \(EH=2FD\).</span></div></li><li><div class="list-item-content"><span class="list-item-text">Hence, show that \(AF=3FD\).</span></div></li></ol>
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In \(\Delta ABC\), \(E\) is the midpoint of \(AC\). \(AD\) and \(BE\) intersect at \(F\), which is the midpoint of \(BE\). \(FC\) and \(EH\) intersect at \(G\).

Given that \(AD\) is parallel to \(EH\), prove that \(EH=2FD\).

Proofs in Plane Geometry

Question 2bd184a7

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