SOLUTION: what is the area of an equilateral triangle whose inscribed circle has radius 2cm?

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Question 1153036: what is the area of an equilateral triangle whose inscribed circle has radius 2cm?
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
Draw the figure and label as many parts as you can.

Do you see this has six triangles, each with one short leg of 2 cm, and this is opposite of a 30 degree angle; and the 60 degree angle is opposite the long leg?

Either use your knowledge of special 30-60-90 right triangle, OR use Pythagorean theorem to find length of the long leg.

Finding area for the whole figure should be clear to do from here.