Difference between revisions of "Mock AIME 1 2006-2007 Problems/Problem 10"
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Revision as of 15:45, 24 July 2006
10. In , , , and have lengths , , and , respectively. Let the incircle, circle , of touch , , and at , , and , respectively. Construct three circles, , , and , externally tangent to the other two and circles , , and are internally tangent to the circle at , , and , respectively. Let circles , , , and have radii , , , and , respectively. If where and are positive integers, find .