fixed incircle and circumcircle
Source: Iran 3rd round 2011-geometry exam-p4
September 6, 2011
geometrycircumcircleincentergeometric transformationreflectionradical axisgeometry proposed
Problem Statement
A variant triangle has fixed incircle and circumcircle. Prove that the radical center of its three excircles lies on a fixed circle and the circle's center is the midpoint of the line joining circumcenter and incenter.proposed by Masoud Nourbakhsh