Question

If the area of an equilateral triangle is $36\sqrt{3}{\text{cm}}^2$, then the side of the triangle is

• A. $6$ cm
• B. $8$ cm
• C. $10$ cm
• D. $12$ cm

Answer 1

The correct option is D $12$ cm

For equilateral $\Delta ,height=\frac{\sqrt{3}}{2}a$
$\Rightarrow Area=\frac{1}{2}.a.\frac{\sqrt{3}}{2}a=36\sqrt{3}\Rightarrow a=12cm$