Question

Find the length of the side of an equilateral triangle whose area is 9√3 cm2

Please help​ for 10 points

Answer 1

s = 6 cm

Explanation:

The area (A) of an equilateral triangle is calculated as

A =
`(s^2√(3) )/(4)` ( s is the length of side )

Here A = 9
`√(3)` , thus

`(s^2√(3) )/(4)` = 9
`√(3)` ( multiply both sides by 4 to clear the fraction )

s²
`√(3)` = 36
`√(3)` ( divide both sides by
`√(3)` )

s² = 36 ( take the square root of both sides )

s =
`√(36)` = 6