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Three circles are drawn, so that each circle is externally tangent to the other two circles. Each circle has a radius of 2. A triangle is then constructed, such that each side of the triangle is tangent to two circles, as shown below. Find the perimeter of the triangle.

 Apr 16, 2020
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The perimeter works out to 9*sqrt(3) + 24.

 Apr 16, 2020

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