MathDB

2

Part of 2022 South East Mathematical Olympiad

Problems(1)

Easy Geometry with Orthocenter and Symmedian Line

Source: China South East G10/11 P2

8/2/2022
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
geometryorthocentersymmedian