MathDB
may be ez

Source: circle & triangle

May 6, 2008
geometrygeometric transformationhomothetygeometry unsolved

Problem Statement

In ABC ABC, the inscribed circle is tangent to side BCBC atX X. Segment AX AX is drawn. Prove that the line joining the midpoint of AX AX to the midpoint of side BC BC passes through center I I of the inscribed circle.