MathDB
8th IMAR,problem 2

Source: 8th IMAR,problem 2

January 1, 2012
geometrygeometry proposed

Problem Statement

Given a triangle ABCABC, let DD be the point where the incircle of the triangle ABCABC touches the side BCBC. A circle through the vertices BB and CC is tangent to the incircle of triangle ABCABC at the point EE. Show that the line DEDE passes through the excentre of triangle ABCABC corresponding to vertex AA.