Question

Find the area of an equilateral triangle with radius 3 root 3.leave in simpliest radical form

Answer 1

Area = 27√3/4 square units

Explanation:

Since the shape is an equilateral triangle, all the sides will be equal

Area of the triangle = 1/2 * base * height

Get the height

(3√3)² = h²+(3√3/2)²

27 = h² + (27/4)

h²= 27 - 27/4

h² = 27 - 6.75

h² = 20.25

h = √2025/100

h = 45/10

Area = 1/2 * 3√3 * 45/10

Area = 135√3/20

Area = 27√3/4 square units