diagonal intersection of cyclic ABCD is incenter of BMC, circumcircles related
Source: 2013 Oral Moscow Geometry Olympiad grades 10-11 p1
August 16, 2019
geometryincentercircumcirclecyclic quadrilateral
Problem Statement
Diagonals of a cyclic quadrilateral intersect at point . The circumscribed circles of triangles and intersect at point on the side . Prove that the point is the center of the inscribed circle of the triangle .