# The radius of a circle inscribed in an equilateral triangle is 6√3 cm. Find the perimeter of the triangle.

July 29, 2021 | education

| The radius of a circle inscribed in an equilateral triangle is:

R = a * √3 / 6, where a is the side of the triangle.

a = 6 * R / √3 = 6 * 6 * √3 / √3 = 36 cm.

Then the perimeter of the triangle is: P = 3 * a = 3 * 36 = 108 cm.

Answer: The perimeter of the triangle is 108 cm.

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