circle tangent to circumcircle
Source: Spanish Mathematical Olympiad 1977 P6
December 23, 2022
geometrytangent circlescircumcircle
Problem Statement
A triangle is considered, and let be the intersection point of the angle bisector corresponding to angle with side . Prove that the circumcircle that passes through and is tangent to line at , it is also tangent to the circle circumscribed around triangle .