Question

The ratio of the measures of the sides of a triangle is 3:5:7, and its perimeter is 135 feet. Find the measure of each side of the triangle.

a. x = 9
b. 13.5 ft, 22.5 ft, 31.5 ft
c. 27 ft, 45 ft, 63 ft
d. 25 ft, 45 ft, 65 ft

Answer 1

The correct answer is C. 27 ft, 45 ft, 63 ft.

Explanation:

Given that the ratio of the measures of the sides of a triangle is 3: 5: 7, and its perimeter is 135 feet, in order to find the measure of each side of the triangle, the following calculation must be performed:

3 + 5 + 7 = 15

135/15 = 9

9 x 3 = 27

9 x 5 = 45

9 x 7 = 63

Therefore, the measures of the sides of the triangle are 27 ft, 45 ft, and 63 ft.