Excenter of isosceles triangle
Source: Turkey TST 1989 - P6
September 11, 2013
geometrycircumcirclegeometric transformationhomothetygeometry proposed
Problem Statement
The circle, which is tangent to the circumcircle of isosceles triangle (), is tangent and at and , respectively. Prove that the midpoint of the segment is the center of the excircle (which is tangent to ) of the triangle .