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Easy Geometry with Orthocenter and Symmedian Line

Source: China South East G10/11 P2

August 2, 2022
geometryorthocentersymmedian

Problem Statement

In acute triangle ABC AB>AC. H is the orthocenter. M is midpoint of BC and AD is the symmedian line. Prove that if ADH=MAH\angle ADH= \angle MAH, EF bisects segment AD. https://s2.loli.net/2022/08/02/t9xzTV8IEv1qQRm.jpg