How do you find the perimeter of an equilateral with an altitude of #6sqrt3# cm?
1 Answer
Nov 30, 2015
Apply the Pythagorean theorem to solve for the side length and find that the perimeter is
Explanation:
Drawing it out, we obtain the following picture:
Our goal is to find the perimeter, that is,
Looking at the right triangle with the sides marked in the picture, we can apply the Pythagorean theorem to get
Substituting in our value for
Thus
So the perimeter is