Question

The height of an equilateral triangle is 4 startroot 3 endroot. what is the perimeter of the equilateral triangle?

Answer 1

perimeter = 24

Explanation:

formula:

In an equilateral triangle with sides of lengths ‘a’

The height of the triangle is equal to :

`= (√(3) )/(2) a`

……………………………………………

Calculating ‘a’ :

We have to solve the equation:

`4√(3) =(√(3) )/(2) a`

`\Longleftrightarrow 4=(1 )/(2) a`

`\Longleftrightarrow a = 8`

Calculating the perimeter:

= 3a

= 3 × 8

= 24