A sign company is creating a pennant in the shape of an equilateral triangle The length of each side is 8 inches. What is the alttitude length so the
company will know what size box to ship the pennant in?

Hey there! :)

4√3 in.

Step-by-step explanation:

Given:

-Equilateral triangle

-Side lengths of 8 in

Find the altitude using the Pythagorean Theorem (c² = a² + b²) where:

'a' is the shorter leg, or half of the base to find the altitude

'b' is the altitude

'c' is the Hypotenuse, or 8 in.

Therefore:

8² = 4² + b²

64 = 16 + b²

48 = b²

b = √48 or 4√3 in.

Therefore, the altitude of the triangle is 4√3 in.

60: 45 =12: 9 =4: 3 so the answer is 4: 3