Question

Your basketball team wins your league championship. Each member of the team gets a championship badge to sew on the team's jackets. The badge is an equilateral triangle that has side lengths of 5 inches. Find the height of the badge.

A) 4.33 inches
B) 5.00 inches
C) 5.77 inches
D) 6.25 inches

Answer 1

The height of the badge is approximately 4.33 inches.

Step-by-step explanation:

To find the height of the badge, we can use the formula for the height of an equilateral triangle:

Height = (√3/2) x side length

In this case, the side length is 5 inches, so plugging that into the formula, we get:

Height = (√3/2) x 5 inches

Height = 2.5√3 inches

Approximating the value of √3 to 1.732, we can calculate the height:

Height ≈ 2.5 x 1.732 inches ≈ 4.33 inches

Therefore, the height of the badge is approximately 4.33 inches (option A).