Height of a regular triangle 18. What is the radius of the circle described described about this triangle?
| September 1, 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 * 18 / √3 = 36 / √3 cm.
The radius of the circumscribed circle around a regular triangle is: R = a / √3 = 36 / √3 * √3 = 12 cm.
Answer: The radius of the circumscribed circle is 12 cm.
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