# Geometry A 1

Geometry Level pending

Three cirlces, with radii of $$1,1, and 2$$ are externally tangent to each other. The minimum possible area of a quadrilateral that contains and is tangent to all three circle can be written as $$a + b\sqrt{c}$$ where $$c$$ is not divisible by any perfect square larger than 1. Find $$a+b+c$$.

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