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 

`A = 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 ` 4 sqrt(3) cm^2`  is given by

`4sqrt(3 ) = sqrt(3)/4 a^2`

`a^2 = (4sqrt(3) xx 4)/sqrt(3) `

  a² = 16

  a  = `sqrt(16)`

  a = 4 cm