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Square Circles (Posted on 2004-05-27) Difficulty: 3 of 5
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?

See The Solution Submitted by Axorion    
Rating: 4.0000 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Sorry - I'm back | Comment 23 of 25 |
Sorry, I get tied up in stuff and don't get back here when I need to. Just added the part in about (Unique:) a few weeks ago. I should have left it alone. I didn't catch the part about R=4 and R=6 being congruent. I was looking for 6 values. looks like Charlie got it first. Again sorry.
  Posted by Axorion on 2004-05-30 04:02:30
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