Tangents to intersecting circles...
Source: Flanders MO, 2003
August 9, 2004
geometry proposedgeometry
Problem Statement
Two circles and intersect at .
The tangent in to intersects in different from .
The tangent in to intersects in different from .
Another circle goes through .
The tangent in to intersects in different from and in different from .
Prove that the distance is equal to the distance .