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
Solution
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