Question

What is the altitude of an equilateral triangle with a side length of 10 in.

Answer 1

Good morning,

Answer:

$\frac{\sqrt{3} }{2} a$

Step-by-step explanation:

h = altitude

side = a

using Pythagorean theorem: in the right triangle:

h² = a² - (a/2)²

    = a² - a²/4

    = 3/4a²

    = [(√3/2)×a]²

⇒ h = (√3/2)×a.

:)