arc midpoint equidistant from incenters (V Soros Olympiad 1998-99 Round 3 9.7)
Source:
May 25, 2024
geometryincenter
Problem Statement
Consider the cyclic quadrilateral . Let be the point of intersection of its diagonals, and be the midpoint of the arc (not containing other vertices of the quadrilateral). Prove that the distances from to the centers of the circles inscribed in triangles and are equal.