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1 altitude bisects 1 median => another altitude bisects another median

Source: Oral Moscow Geometry Olympiad 2015 grades 8-9 p1

August 8, 2019
geometrybisectsaltitude

Problem Statement

In triangle ABCABC, the altitude AHAH passes through midpoint of the median BMBM. Prove that in the triangle BMCBMC also one of the altitudes passes through the midpoint of one of the medians.