2015 AIME II Problems/Problem 7
Problem
Triangle 
has side lengths 
, 
, and 
. Rectangle 
has vertex 
on 
, vertex 
on 
, and vertices 
and 
on 
. In terms of the side length 
, the area of can be expressed as the quadratic polynomial
Area() = 
.
Then the coefficient 
, where 
and 
are relatively prime positive integers. Find 
.
