Proofs in Plane Geometry - Midpoint Theorem

Proofs in Plane Geometry - Midpoint Theorem

TGM Original Questions

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

  1. \(EH = 2FD\), and
  2. \(AF = 3FD\).

Solution:

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