# An equilateral triangle is inscribed with a circle with a radius of 4 cm. Find the side of the triangle.

July 28, 2021 | education

| Given: ▲ ABC – equilateral. OD is the radius of the inscribed circle. OD = 4 cm.

Find: AB.

Solution.

▲ ABC – equilateral. OD is the radius of the inscribed circle. The radius of the inscribed circle is calculated by the formula:

r = a / (2√3). Therefore, a = 2√3 * r.

a = 2√3 * OD.

a = 2√3 * 4.

a = 8√3.

Answer: a = 8√3.

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