Question

Find the height of an equilateral triangle whose perimeter is 24

Answer 1

Answer:

$h = 4\sqrt{3}$

Step-by-step explanation:

If the triangle is equilateral, it means that all the sides are the same. Since there are 3 sides in a triangle, each side is 24/3 = 8

Now, in order to find the height, we can use the pythagoeren theroem. Notice that the height bisects(splits the side) into two equal parts, which each part having the length 8/2 = 4

So we have $h^2 + 4^2 = 8^2$

$h^2 = 48$

$h = 4\sqrt{3}$