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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