ABC is an equilateral triangle with side 6 √3. Find the radius of incircle and circumcircle to the triangle.Choices:- 4,2 3,6 2,3 3,5

The radius of the incircle (r) and the circumcircle (R) of an equilateral triangle can be found using the following formulas:

r = a * sqrt(3) / 6 R = a * sqrt(3) / 3

where a is the side length of the triangle.

Given that the side length of the triangle ABC is 6√3, we can substitute this value into the formulas:

r = 6√3 * sqrt(3) / 6 = 3√3 = 31.732 = 5.196 (approximately) R = 6√3 * sqrt(3) / 3 = 6√3 = 61.732 = 10.392 (approximately)

So, the radius of the incircle is approximately 5.196 and the radius of the circumcircle is approximately 10.392.

However, none of the given choices exactly match these values. The closest choice would be 3,5 but it's not the exact answer.