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Problem 389. Triangle, Parallel lines, Harmonic Mean.
Level: High School, SAT Prep, College geometry.

The figure shows a triangle ABC with DE parallel to AB and DF parallel to BC. AE intersects DF at G and CF intersects DE at H. Prove that (1) GH is parallel to AC, and (2) GH is one-half of the harmonic mean of AD and CD.

TRiangle, Parallel, Cevian, Harmonic mean

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