Question

If the area of an equilateral triangle is $36\sqrt{3}c{m}^2$, then the length of the side of the triangle is .

• A. 12 $cm$
• B. 24 $cm$
• C. 6 $cm$

Answer 1

The correct option is A 12 $cm$

Area of an equilateral triangle = $\frac{\sqrt{3}}{4}\times (side{)}^2$
Let the side of the triangle be 'a'.
$\Rightarrow$ $36\sqrt{3}$ = $\frac{\sqrt{3}}{4}\times (a{)}^2$
$\Rightarrow$ $a=\sqrt{36\times 4}$
a = 12 $cm$