2006 iTest Problems/Problem U8
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Problem
Let 
, and let 
be the sum of the digits of 
. Cyclic quadrilateral 
has side lengths 
, 
, 
, and 
. Let 
and 
be the midpoints of sides 
and 
. The diagonals 
and 
intersect 
at 
and 
respectively. 
can be expressed as 
where 
and 
are relatively prime positive integers. Determine 
.
