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Find the height, \(h\), of the diagram if each circle has a radius of 4 cm.

Diagram included in comments.

Thanks for the help!

Guest Feb 25, 2019

#3**+2 **

If we join the centers of the top three circles....we will have an equilateral triangle with a side of 8

The height of this triangle 4√ 3 units

And if we join the bottom three circles...we have another equilateral triangle with the same height

So....by symmetry......the total height = 2r + 2 (4√ 3) = 2(4) + 8√ 3 =

8 + 8√ 3 =

8 ( 1 + √ 3) units

CPhill Feb 25, 2019