Let A B C be a triangle with circumradius 17, inradius 4, circumcircle \Gamma and A-excircle \Omega. Suppose the reflection of \Omega over line B C is internally tangent to \Gamma. Compute the area of \triangle A B C.
Let A B C be a triangle with circumradius 17, inradius 4, circumcircle \Gamma and A-excircle \Omega. Suppose the reflection of \Omega over line B C is internally tangent to \Gamma. Compute the area of \triangle A B C.