Question:-ABC is an equilateral triangle with side 8 √3. Find the radius of incircle and circumcircle to the triangle.Choices:- 4, 6 3, 6 4, 8 3, 4

The radius of the incircle (r) of an equilateral triangle can be found using the formula: r = a / (2√3), where a is the side length of the triangle.

Given that the side length (a) of the triangle ABC is 8√3, we can substitute this into the formula:

r = 8√3 / (2√3) = 4.

The radius of the circumcircle (R) of an equilateral triangle can be found using the formula: R = a / √3, where a is the side length of the triangle.

Substituting the given side length into this formula gives:

R = 8√3 / √3 = 8.

So, the radius of the incircle is 4 and the radius of the circumcircle is 8. Therefore, the correct choice is 4, 8.