Question

find each side of an equilateral triangle having area 9 root 3

Answer 1

Let a be the side of triangle,
Area = root3 /4 a2
9root3=root3/4a2
9root3*4/roo3=a2
So,9*4=a2
36=a2
Hence, a=6units
The side of triangle is 6units
Hope it helps you dear..

Answer 2

Area of equilateral triangle is  (a³√3/4), where a is the side of the equilateral triangle.

a²√3/4 = 9√3

root 3 gets cancelled on both sides

a²/4 = 9 => a²= 9*4 = 36 units
=> a =√36 = 6 units - side of that triangle

Hope it helps!!
Cheers!!