What are the measures of the apex angles of all isosceles triangles with circumradius 9 and inradius 4?
(As a reminder, the circumradius is the radius of the circumscribed circle, and the inradius is the radius of the inscribed circle.)
Using the power of a math program and some free-time, I have developed 2 solutions for this problem. Both of them can be found at http://i43.photobucket.com/albums/e397/GameGuy400/SolutionA.jpg and at http://i43.photobucket.com/albums/e397/GameGuy400/SolutionB.jpg Have fun with them.
An almost complete estimated solution (spoiler)
