The altitude of an equilateral triangle is 22 inches. Find the perimeter of the equilateral triangle. Leave answer as a simplified radical.

Question

asked Jul 16, 2021 126k views

1 Answer

Andrean · Answer 1 · 2021-07-22T01:19:31+0000

The perimeter of the equilateral triangle will be 76.2 in

Step-by-step explanation:

Altitude of an equilateral triangle, H = 22 in

Perimeter, p = ?

Let a be the side of the triangle

We know:

$H = (a√(3) )/(2) \\\\22 = (a√(3) )/(2) \\\\a = 25.4 in$

Perimeter = 3a

P = 3 X 25.4 in

P = 76.2 in