MathDB

3

Part of 2017 Serbia JBMO TST

Problems(1)

Geometry problem

Source:

5/8/2018
Let ABC be a triangle with angle ACB=60. Let AA' and BB' be altitudes and let T be centroid of the triangle ABC. If A'T and B'T intersect triangle's circumcircle in points M and N respectively prove that MN=AB.
geometry