Online Geometry Problems

Online Geometry Problem 750: Complete Quadrilateral, Triangle, Diagonal, Parallel, Similarity, Metric Relations. Level: High School, Honors Geometry, College, Mathematics Education

The figure shows a complete quadrilateral ABCDEF (AB and DC meet at E, AD and BC meet at F). Point H is on the diagonal BD; and EG, AM, and FN are parallel to CH. If CH = c, AM =a, EG = e, and FN = f, prove that Formula to prove (c is one-third the harmonic mean of a, e, and f.)
 

Complete Quadrilateral, Diagonal, Parallel, Metric Relations, Similarity
 

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