Question

A triangle has a perimeter of 75 inches. Find the length of three sides

if one side is 15 inches larger than the smallest side, and the third
side is twice the smallest

Answer 1

9514 1404 393

Answer:

15 in, 30 in, 30 in

Explanation:

Let x represent the length of the smallest side. Then the other two sides are (x+15) and (2x). The perimeter is the sum of the side lengths:

x +(x +15) +2x = 75

4x = 60

x = 15 . . . . . . . . . . . shortest side

(x+15) = 30 . . . . . . second side

(2x) = 30 . . . . . . . third side

The shortest side is 15 inches, the second side is 30 inches, and the third side is 30 inches.