Question

The length of each side of an equilateral triangle having an area of $9\sqrt{3}c{m}^2$ is :

• A. $8$ cm
• B. $36$ cm
• C. $4$ cm
• D. $6$ cm

Answer 1

The correct option is D $6$ cm

The area of equilateral triangle is $9\sqrt{3}c{m}^2$

Since, the area of equilateral triangle is

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

Therefore,

$\frac{\sqrt{3}}{4}{a}^2=9\sqrt{3}$

$a^2=9\times 4$

$a^2=36$

$a=6cm$

Hence, the side of the triangle is $6cm$.