circle tangent to incircle (V Soros Olympiad 1998-99 Round 1 10.10)
Source:
May 25, 2024
geometrytangent circles
Problem Statement
A circle inscribed in triangle touches at point , is the midpoint of the altitude drawn on . The straight line intersects the circle inscribed in for the second time at point . Prove that the circle passing through , and touches the circle inscribed in triangle .