2012 AIME II Problems/Problem 15
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Problem 15
Triangle 
is inscribed in circle 
with 
, 
, and 
. The bisector of angle 
meets side 
at 
and circle at a second point 
. Let 
be the circle with diameter 
. Circles and meet at and a second point 
. Then 
, where 
and 
are relatively prime positive integers. Find 
.
