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segment of orthocenter - centroid, bisects segment of feet of altitudes

Source: Sharygin Geometry Olympiad 2015 Final 9.7

August 1, 2018
geometryangleorthocenterCentroid

Problem Statement

Let ABCABC be an acute-angled, nonisosceles triangle. Altitudes AA′AA' and BB′BB' meet at point HH, and the medians of triangle AHBAHB meet at point MM. Line CMCM bisects segment A′B′A'B'. Find angle CC.
(D. Krekov)
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