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The center of a circle of radius 3 in. is at a distance of 50 in. from the center of a circle of radius 27

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The center of a circle of radius 3 in. is at a distance of 50 in. from the center of a circle of radius 27 in. There are two circles that do not touch, four segments, and five labeled points. What is the exact length (in inches) of common internal tangent AB? (Hint: Use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.) in

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