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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.
 

 Aug 23, 2020
 #1
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The perimeter works out to 6*sqrt(3) + 6.

 Aug 23, 2020
 #2
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i dont think thats correct

Guest Aug 23, 2020
 #3
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  P = 3 [ 2(r / tan30º)  + 2r ]    cool

 Aug 23, 2020

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