Question

Area of an equilateral triangle is 2 into square root of 3 centimer square. find its perimeter.

Answer 1

$\frac{ \sqrt{3} }{4} a = 2 \sqrt{3} \\ a = 8 \\ so \: perimeter \: of \\ equilateral \: triangle \: = 3a \\ = 24$

Answer 2

Hey

Given the side of Equilateral Triangle as 'a'

Area of Equilateral is given by :
$area = \frac{ \sqrt{3} }{4} {a}^{2}$

Hence, according to Question :

$\frac{ \sqrt{3} }{4} {a}^{2} = 2 \sqrt{3}$
$= > {a}^{2} = 8$

$= > a = 2 \sqrt{2}$

$= > perimeter =3a = 6 \sqrt{2} cm$

Hence, the Perimeter is 6√2 cm