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In the figure, three small circles have a radius of 4.  Another large circle is drawn, so that all four circles are enclosed in an equilateral triangle.  Find the side length of the equilateral triangle.

 

 May 5, 2020
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If  PN = 4 than AN = 12        ( see diagram )

 

If  AN = 12  than AM = 36

 

If  AM = 36  than  the side  AB = AM / sin(60°) = 41.56921938

 

41.56921938 / sqrt(3) = 24

 

The side length of the equilateral triangle is     24*sqrt(3)   indecision

 

 

 May 6, 2020
edited by Dragan  May 6, 2020
edited by Dragan  May 6, 2020

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