Difference between revisions of "Mock AIME 1 2006-2007 Problems/Problem 10"
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− | *[[Mock AIME 1 2006-2007/Problem 11 | Next Problem]] | + | *[[Mock AIME 1 2006-2007 Problems/Problem 11 | Next Problem]] |
*[[Mock AIME 1 2006-2007]] | *[[Mock AIME 1 2006-2007]] |
Revision as of 14:51, 3 April 2012
Problem
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 .
Solution
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