Given:

Three circles A, B and C.

Each circle is tangent to the other two.

The radius of A is 20.

The radius of B is 30.

Questions:

How many unique values of radius C exist where the centers of A, B and C form a right triangle? (Unique: Do not count triangles which are equal through flips and rotations. You may only count dissimilar triangles and similar triagles of differing sizes.)

What are the values?

(In reply to re: are you from Russia? by Charlie)

Which is exactly what I was getting at while this problem was still in the queue, but alas, nobody listens...

Posted by Cory Taylor on 2004-05-27 21:02:15