equal segments wanted, related to an isosceles triangle and 2 circumcircles
Source: INAMO Shortlist 2015 G4
May 14, 2019
geometryequal segmentsisoscelescircumcircle
Problem Statement
Given an isosceles triangle with , suppose is the midpoint of the . The circumcircle of the triangle intersects the altitude from at point inside the triangle , and the circumcircle of the triangle cuts the side at point . If cuts at point , prove that .