Mock AIME 3 Pre 2005 Problems/Problem 11
is an acute triangle with perimeter 
. 
is a point on 
. The circumcircles of triangles 
and 
intersect 
and 
at 
and 
respectively such that 
and 
. If 
, then the value of 
can be expressed as 
, where 
and 
are relatively prime positive integers. Compute 
.
