SOLUTION: If an equilateral triangle is circumscribed about a circle of radius 10 cm, determine the side of the triangle.

Question 782788: If an equilateral triangle is circumscribed about a circle of radius 10 cm, determine the side of the triangle.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Side AC is tangent to the circle, perpendicular to radius OD at the point of tangency (point D).
We can draw angles congruent with AOD connecting the center with points of tangency and vertices, and their measures add to ,
so AOD measures
Using trigonometry, we know that
--> -->
and since ,

Rounding, we get an approximmate value of .

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