Question

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

Answer 1

The perimeter of the equilateral triangle will be 76.2 in

Explanation:

Altitude of an equilateral triangle, H = 22 in

Perimeter, p = ?

Let a be the side of the triangle

We know:

$H = \frac{a\sqrt{3} }{2} \\\\22 = \frac{a\sqrt{3} }{2} \\\\a = 25.4 in$

Perimeter = 3a

P = 3 X 25.4 in

P = 76.2 in