MathDB

1

Part of 2011 Singapore Senior Math Olympiad

Problems(1)

Prove equilateral

Source: Singapore MO 2011 senior round 2 Q1

6/25/2011
In the triangle ABCABC, the altitude at AA, the bisector of ∠B\angle B and the median at CC meet at a common point. Prove (or disprove?) that the triangle ABCABC is equilateral.
trigonometrygeometry proposedgeometry