Question

find the perimeter of an equilateral triangle of area 2root3 cmsq

Answer 1

All sides of an equilateral triangle are equal.
Area of an equilateral triangle = √3 / 4 × a², where a = side.
So, 2√3 = √3/4 (a²)
      2√3 × 4/√3 = a²
      2×4 = a²
      8 = a²
     √8 = a
Now its perimeter =
√8 + √8 + √8 = 3√8 = 3√2×2×2 = 3 × 2√2
6√2 is the answer.

:)

Answer 2

Area of an equilateral triangle,
= √3 / 4 × a².
√3/4 a² =2√3.
2× 4 = a²
8 = a²
a =√8.
Perimeter
=√8 + √8 + √8
= 3√8
=6√2.