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Four Tangent Circles (Posted on 2003-10-20) Difficulty: 4 of 5
Four circles are tangent to each other and to a triangle that surrounds them, as shown in the figure. Each of the three circles in the corners have a radius of 1 cm. What is the radius of the circle in the middle?

No Solution Yet Submitted by Bryan    
Rating: 4.1429 (7 votes)

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re: solution | Comment 2 of 13 |
(In reply to solution by SilverKnight)

First, I like your proof. It's a really nice proof. Second, I checked everything except the final calculation of R and it seems to have no errors. Except that triangles ABF and DBF are congruent, not similar.
  Posted by Tristan on 2003-10-20 22:22:33

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