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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(2): Fewer than I thought | Comment 19 of 24 |
(In reply to re: Fewer than I thought by GOM)

I'm in the process of drawing all of the solutions with Geometer's Sketchpad.

I've done 5 but I think two of them are making congruent triangles.

I'm not done yet.  Is there a way to post a gif file when I finish?

-Jer

 Posted by Jer on 2004-05-28 10:21:32

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