Question

The length of each side of an equilateral triangle having an area of $4\sqrt{3}$ $c{m}^2$, is

• A. $4cm$
• B. $\frac{4}{\sqrt{3}}cm$
• C. $\frac{\sqrt{3}}{4}cm$
• D. $3cm$

Answer 1

Answer: (A)

$4cm$

Given, area of equilateral triangle $=4\sqrt{3}c{m}^2$

Area of an equilateral triangle with length of side $a=\frac{\sqrt{3}}{4}{a}^2$

Given, area of the equilateral triangle $=4\sqrt{3}{cm}^2$
$\frac{\sqrt{3}}{4}{a}^2=4\sqrt{3}{cm}^2$
$\therefore a^2=16$
$\therefore a=4cm$