Question

If the area of an equilateral triangle is 9√3 sq ft, how long is a side? Complete your work in the space provided or upload

a file that can display math symbols if your work requires it.

Answer 1

Answer: 6 ft

Explanation:

The area of an equilateral triangle is given by the formula
`A = (s^(2) √(3) )/(4)`, where A is the area of the triangle and s is the length of a side.

If the area of an equilateral triangle is 9√3 sq ft, we can substitute this value for A and solve for s:

`A = (s^(2) √(3) )/(4)`

`9\sqrt3} = (s^(2) √(3) )/(4)`

`36 = s^(2)`

`s = 6`

Therefore, the length of a side is s = 6 ft.