three circles with centers A, B and C have respective radii 50, 30 and 20 inches and are tangent to each other externally. Find the area in (in^2) of the curvilinear triangle formed by the three circles

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Is a calculator necessary here?

|dw:1440340144264:dw|

I want to use Heron's Formula and the Law of Cosines, but my gut tells me there's a simpler way haha

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