Question

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

HELP ASAP

Answer 1

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.