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 Square Circles (Posted on 2004-05-27)
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.)
 re: Crossing my fingers | Comment 22 of 24 |
(In reply to Crossing my fingers by Jer)

Looks good.  Also made me see one of my triangle sizes was wrong, which I've corrected. (there are 2 small 2 medium and 2 large instead of the 3 medium and 1 large)

 Posted by Charlie on 2004-05-28 15:05:04

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