Mock AIME 4 2006-2007 Problems/Problem 11
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Problem
Let 
be an equilateral triangle. Two points 
and 
are chosen on 
and 
, respectively, such that 
. Let 
be the intersection of 
and 
. The area of is 13 and the area of 
is 3. If 
, where 
, 
, and 
are relatively prime positive integers, compute 
.
Solution
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