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Three circles are pairwise externally tangent, as shown below. The circles have radii of 1 meter, 3 meters and 5 meters. In square meters, what is the area of the polygon formed by connecting the centers of the circles? 

 

 Jul 12, 2022
 #1
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Here's a hint: Note that the lengths of each side are the sum of 2 radii (biggest radii + middle radii; middle radii + smallest radii; biggest radii + smallest radii)

 

Now, use Heron's to solve for the area. 

 Jul 12, 2022

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