Did you know?
In geometry, an equilateral triangle is a polygon with three equal sides and three equal angles. When an equilateral triangle is inscribed in a circle, we can find the radius of the circle. In this case, the side length of the equilateral triangle is 10cm. By drawing perpendiculars from the center of the circle to the sides of the triangle, we can see that the radius of the circle is also the height of the triangle. Using this information, we can calculate the radius of the circle by dividing the side length of the triangle by 2 and then multiplying it by √3. In this case, the radius of the circle is approximately 8.66 cm.