SOLUTION: a circle is inscribed in a equilateral triangle,its radius is 4,how to find its side?

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Question 896510: a circle is inscribed in a equilateral triangle,its radius is 4,how to find its side?
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!

Draw OB perpendicular to the bottom side at B.

Radius OA bisects 60° angle at A, so angle OAB = 30° 

AB is half the side.  OA is a radius = 4.

AB%2FOA=cos%28%2230%B0%22%29

AB%2F4+=+sqrt%283%29%2F2

AB=4sqrt%283%29%2F2

AB=2sqrt%283%29   <-- half a side

SIDE=4sqrt%283%29, approximately 6.92820323

Edwin