Circumcenter on IO
Source: International Olympiad of Metropolises 2019 P3
September 3, 2019
geometrycircumcircleincenter
Problem Statement
In a non-equilateral triangle point is the incenter and point is the circumcenter. A line through is perpendicular to . Line symmetric to like with respect to meets the segments and at points and , respectively ( and are different from ). Prove that the circumcenter of triangle lies on the line . Dušan Djukić