Question

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

Answer 1

Answer:

The perimeter of the equilateral triangle, P = 24 units

Step-by-step explanation:

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

$h=\dfrac{\sqrt{3} }{2}\times a$

a is the side of triangle

If the height of an equilateral triangle is, $h=4\sqrt{3}$

Equation (1) becomes,

$a=\dfrac{2h}{\sqrt{3} }$

Put h in above formula. So,

$a=\dfrac{2\times 4\sqrt{3}}{\sqrt{3} }$

a = 8

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

$P=8\times 3$

P = 24 units

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

Answer 2

- I tried solving this but I don't think there's a perimeter for that.