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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.

 Jan 21, 2021
 #1
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The perimeter works out to 12 + 18*sqrt(3).

 Jan 21, 2021
 #2
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no its 18√3 + 18, btw this is an AHSME problem

 Jan 21, 2021

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