Question

How do you find the area of an equilateral triangle given the perimeter?

Answer 1

The area can be calculated as: `A=(p^2*sqrt(3))/36`

Explanation:

If we have a perimeter `p`, then we can calculate the side of the triangle as `a=p/3`. Knowing the side we can write area `A` as:

`A=(a^2*sqrt(3))/4=((p/3)^2*sqrt(3))/4=(p^2/9*sqrt(3))/4=(p^2*sqrt(3))/36`