Proofs in Plane Geometry - Similarity

Proofs in Plane Geometry - Similarity

TGM Original Questions

In triangle \(ABC\), \(BD : DA = 1 : 2\) and \(CF : FA = 1 : 2\). \(AGHE\) is a straight line such that \(DH : HC = 2 : 3\). Prove that

  1. \(AG = 2GE\), and
  2. \(AE = 5HE\).

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