# The Three Circles

Geometry Level 2

3 Circles $$\Gamma_A, \Gamma_B$$ and $$\Gamma_C$$ have radii of $$2 \mbox{ m}, 3\mbox{ m}$$ and $$10\mbox{ m}$$ respectively. Each circle is tangential to the other two. The centers of the circles are $$A, B$$ and $$C$$, respectively. What is the area (in $$\mbox{m}^2$$) of triangle $$ABC$$?

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