# The height of a regular triangle is 90, find the radius of the circle around this triangle.

September 14, 2021 | education

| In a regular triangle, the height is: h = a * √3 / 2, where a is the side of the triangle. Then a = 2 * h / √3 = 2 * 90 / √3 = 180 / √3 cm.

The radius of the circumscribed circle around a regular triangle is: R = a / √3 = 180 / √3 * √3 = 60 cm.

Answer: The radius of the circumscribed circle is 60 cm.

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