A regular triangle is inscribed in a circle with a radius of 2√3 cm. Find the side of the triangle.
| September 7, 2021 | education
In a regular triangle, point O divides the height BH into segments in a ratio of 2/1.
ОВ = R = 2 * ОН, then ОН = R / 2 = 2 * √3 / 2 = √3.
In the right-angled triangle AOH, we determine the length of the leg AH.
AH ^ 2 = AO ^ 2 – OH ^ 2 = 12 – 3 = 9.
AH = 3 cm, then AC = 2 * AH = 2 * 3 = 6 cm.
Answer: The side of the triangle is 6 cm.
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