Question

If the area of an equilateral triangle is 9√3 sq ft, how long is a side?

6 ft.
9 ft.
18 ft.

Answer 1

6ft.

Explanation:

Answer 2

The area of an equilateral triangle can be found using the formula:

`Area= ( √(3) )/(4)s^2 \ \ \ \ \ \text{[s= length of a side] } \\ \\ \\ ( √(3) )/(4)s^2=9 √(3) \\ \\ s^2=9 √(3): ( √(3) )/(4)= 9 √(3) \cdot ( 4 )/( √(3) )=36 \\ \\ s= √(36)=6 \ \text{ft }`

The answer is 6 ft.