Brain Teasers
Tangent Circles
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?
If three of the radii are 3, 4, and 5, what's the largest possible radius of the fourth circle?
Hint
It looks like a math teaser, but look at its category.Answer
The four circles can be tangent to each other at the same point, therefore there is no upper bound to the radius of the fourth circle!Hide Hint Show Hint Hide Answer Show Answer
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