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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!

 Feb 25, 2019
 #1
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Here it is:

 

 Feb 25, 2019
 #2
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Why does it show, "Waiting for moderation"? Hopeully, one of the mods could approve it.

Guest Feb 25, 2019
 #3
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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

 

 

cool cool cool

 Feb 25, 2019

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