In a regular triangle, the side is 3 cm find the radius of the inscribed circle
| May 25, 2021 | education
In a regular triangle, the side is 3 cm find the radius of the inscribed circle, the radius of the circumscribed circle, the area and perimeter of the triangle
The radius of the inscribed circle is: r = AB * √3 / 6 = 3 * √3 / 6 = √3 / 2 cm.
The radius of the circumscribed circle is: R = AB * √3 / 3 = 3 * √3 / 3 = √3 cm.
The area of the triangle is: S = AB * AC * Sin60 / 2 = 3 * 3 * √3 / 4 = 9 * √3 / 4 cm2.
The perimeter of the triangle is equal to: Ravs = 3 * AB = 3 * 3 = 9 cm.
Answer: The radii are √3 / 2 cm, √3 cm, the area is 9 * √3 / 4 cm2, the perimeter is 9 cm.
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