Question

an equilateral triangle is inscribed in a circle of radius 6 cm find its side

Answer 1

It is true that, for any equilateral triangle, if the side is a and the circumradius is r, then a = r√3.

Here the equilateral triangle is inscribed in a circle of radius 6 cm, thus the circle is the circumcircle of the triangle. Hence the circumradius of the triangle is 6 cm.

Thus, according to the concept above, the length of the side of the equilateral triangle is 6√3 cm.