MathDB

106

Part of 1968 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 106 All Soviet Union MO 1968 4 equal incircles by medians

Source:

6/20/2019
Medians divide the triangle onto 66 smaller ones. 44 of the circles inscribed in those small ones are equal. Prove that the triangle is equilateral.
geometryincirclemedian