# Find the perimeter of an equilateral triangle of area 2root3 cmsq

2
by jerrocks

2015-09-26T19:57:18+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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

:)

nice!
Thnku....
2015-09-26T20:00:27+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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.