Question

Find the area of the largest isosceles triangle that can be inscribed in a circle of radius 6 inches.

Answer 1

5.2 square inches

All angles are 60 degrees.
2/3h=r
2/3h=6
h=9

You have a right triangle therefore you can calculate the base as (9tan30)=sqrtof3 over 3

Area of triangle 1/2 bh = 1/2(sqrt3 over 3)

(9) As this is just 1 triangle you then need to multiply it by 2

bh = sqrt of 3 over 3 * 9