Mock AIME 2 2006-2007 Problems/Problem 9
Problem
In right triangle Cevians and intersect at and are drawn to and respectively such that , and . If where and are relatively prime and has no perfect square divisors excluding find
Solution
Define , , , and . Note that implies .
Let and be the projections of onto the legs and respectively. Remark that and , so Since , we have The requested answer is thus
See Also
Mock AIME 2 2006-2007 (Problems, Source) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
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