MathDB
equilateral if median=altitude, <A=60^o (2012 From Tasks to Tasks, p9 Ukr)

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May 2, 2021
geometryEquilateral

Problem Statement

In the triangle ABCABC, the angle AA is equal to 60o60^o, and the median BDBD is equal to the altitude CHCH. Prove that this triangle is equilateral.