Online Geometry Problems

Online Geometry Problem 749: Triangle, Rhombus, Parallel, Harmonic Means, Metric Relations. Level: High School, Honors Geometry, College, Mathematics Education

The figure shows a triangle ABC. Points D, E, F are chosen on AB, BC and AC, respectively, so that ADEF is a rhombus. Prove that the side of the rhombus is one-half the harmonic mean of AB and AC.

Triangl, Rhombus, Side, Harmonic Mean, Metric Relations

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Art and typography of problem 749

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