MathDB
TOT 080 1985 Spring Train J1 median, bisector, altitude concurrent, equilateral

Source:

August 24, 2019
geometryconcurrentEquilateralangle bisectormedianaltitude

Problem Statement

A median , a bisector and an altitude of a certain triangle intersect at an inner point OO . The segment of the bisector from the vertex to OO is equal to the segment of the altitude from the vertex to OO . Prove that the triangle is equilateral .