Question

The length of each side of an equilateral triangle of area

$$4\sqrt{3}c{m}^2$$

 

Options

•  4 cm

• $$\frac{4}{\sqrt{3}}cm$$

   

• $$\frac{\sqrt{3}}{4}cm$$

   

•  3 cm

  Answer 9:

Answer 1

Area of an equilateral triangle say A, having each side a cm is given by 

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

We are asked to find the side of the triangle

Therefore, the side of the equilateral triangle says a, having area ${\displaystyle 4\sqrt{3}c{m}^2}$  is given by

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

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

  a² = 16

  a  = ${\displaystyle \sqrt{16}}$

  a = 4 cm