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(2): are you from Russia? by Cory Taylor)

Perhaps this will give you a little validation:

I remember you writing that ('cause I asked what you meant), and then you expounded.

:-)

I thought that perhaps this is an aspect the author was looking for, but in hindsight, you or I could have TD'd, asking for additional clarification.

Posted by SilverKnight on 2004-05-27 22:22:04