2004 AIME II Problems/Problem 12
Problem
Let 
be an isosceles trapezoid, whose dimensions are 
and 
Draw circles of radius 3 centered at 
and 
and circles of radius 2 centered at 
and 
A circle contained within the trapezoid is tangent to all four of these circles. Its radius is 
where 
and 
are positive integers, 
is not divisible by the square of any prime, and 
and are relatively prime. Find 
