Question

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

Answer 1

Answer:

perimeter = 24

Step-by-step explanation:

formula:

In an equilateral triangle with sides of lengths ‘a’

The height of the triangle is equal to :

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

……………………………………………

Calculating ‘a’ :

We have to solve the equation:

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

$\Longleftrightarrow 4=\frac{1 }{2} a$

$\Longleftrightarrow a = 8$

Calculating the perimeter:

= 3a

= 3 × 8

= 24