An equilateral triangle has a side length of 12sqrt(3) inches. What is the length of the altitude of the triangle? HELP ASAP

Question

asked Mar 22, 2022 79.3k views

1 Answer

DanielH · Answer 1 · 2022-03-28T02:54:08+0000

Answer:

18 inches.

Explanation:

Let x inches be the altitude of the triangle.

By Pythagoras Theorem,

[6sqrt(3)]^2 + x^2 = [12sqrt(3)]^2

108 + x^2 = 432

x^2 = 324

x = 18

So the altitude of the triangle is 18 inches.