Concurrent lines in a triangle
Source: Tournament of Towns Spring 2004 Junior O #1
May 22, 2014
geometry unsolvedgeometry
Problem Statement
In triangle the bisector of angle , the perpendicular to side from its midpoint, and the altitude from vertex , intersect in the same point. Prove that the bisector of angle , the perpendicular to side from its midpoint, and the altitude from vertex also intersect in the same point.