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Online Geometry Problem 914: Triangle, Orthocenter, Angle Bisector, Parallel Lines, Midpoint. Level: High School, College, Mathematics Education


The figure shows a triangle ABC, H is the orthocenter, AD and AE are the internal and external bisectors of angle A. HF is parallel to AD and HG parallel to AE (G on AD and F on AE). FG extended meets BC at M. Prove that M is the midpoint of BC.
See also: problem 914 in motion.

Geometry Problem 91Triangle, Orthocenter, Angle Bisector, Parallel Lines, Midpoint

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