In a regular triangle, the radius of the inscribed circle is 4 roots of 3 cm. Find the area of the triangle.
| May 25, 2021 | education
The radius of the inscribed circle is: r = AB * √3 / 6, then AB = 6 * r / √3 = 6 * 4 * √3 * / √3 = 24 cm.
Savs = AB ^ 2 * √3 / 4 = 576 * √3 / 4 = 144 * √3 cm2.
Answer: The area of the triangle is 144 * √3 cm2.
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