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a touching problem suppose x y and z are three...

Question: a touching problem suppose x y and z are three...

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A Touching Problem Suppose X, Y, and Z are three different circles of equal radius which are mutually tangent. Let circle A be the circle tangent to X, Y, and Z inside the gap between them, and let circle B be the circle tangent to X, Y, and Z that surrounds them. Find the ratio of the radius of B to the radius of A in the form a+bvc where a, b, and c are integers.

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