Question

the height of an equilateral triangle is 4 square root 3. What is the perimeter of the equilateral triangle

Answer 1

The perimeter of the equilateral triangle, P = 24 units

Explanation:

All sides of an equilateral triangle are equal. The height of the equilateral triangle is given by :

`h=(√(3) )/(2)* a`

a is the side of triangle

If the height of an equilateral triangle is,
`h=4√(3)`

Equation (1) becomes,

`a=(2h)/(√(3) )`

Put h in above formula. So,

`a=(2* 4√(3))/(√(3) )`

a = 8

So, the side of triangle is 8. The sum of all sides is called perimeter of any figure. So,

`P=8* 3`

P = 24 units

So, the perimeter of the equilateral triangle is 24 units. Hence, this is the required solution.