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The area of an equilateral triangle is $\sqrt{3}$. What is the perimeter of the triangle$?$

1. $2$
2. $4$
3. $6$
4. $8$

C) Area of equilateral triangle is given by $\frac{\sqrt{3}}{4}a^2\ =\ \sqrt{3}\\a\ =\ 2\\Perimeter\ =\ 3a\ =\ 6$

We know the area of an equilateral Triangle$= \frac{\sqrt3}{4} \ a^2$

Where 'a' is length of sides of  triangle.

so by given condition 9

$\frac{\sqrt3}{4} \ a^2 = \sqrt 3$

i.e $a^2 =4$ so $a=2$

Perimeter$=3*a=3*2=6$

So option (C) is Correct.

1 comment

edited
in the first line in place of square, it should be an equilateral triangle

EDIT  now it is ok