Two circles tangential to sides of a cyclic quadrilateral
Source: Germany 2017, Problem 4
May 4, 2017
geometrygeometry proposedcyclic quadrilateralCyclic Quadrilateralstangent circlesGermany
Problem Statement
Let be a cyclic quadrilateral. The point is chosen on the line such that the circle passing through and touches the line . Similarly, the point is chosen on the line such that the circle passing through and touches the line .Prove that the distance between and the line equals the distance between and .