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Tangent Circles

Trick brain teasers appear difficult at first, but they have a trick that makes them really easy.

 

Puzzle ID:#49219
Fun:** (1.68)
Difficulty:** (2)
Category:Trick
Submitted By:shenqiangAcn****!!

 

 

 



Four circles are situated in the plane so that each is tangent to the other three.

If three of the radii are 3, 4, and 5, what's the largest possible radius of the fourth circle?





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