Question

A triangle has a perimeter of 51 feet. If the three sides of the triangle are n, 3n + 4, and 3n - 2, what is the length of each side?

Separate multiple entries with a comma.

Answer 1

7 ft, 25 ft, 19 ft

Explanation:

The sum of side lengths is equal to the perimeter.

n +(3n +4) +(3n -2) = 51

7n +2 = 51 . . . . . . . collect terms

7n = 49 . . . . . . . subtract 2

n = 7 . . . . . . divide by 7

3n +4 = 25

3n -2 = 19

The side lengths are 7, 25, 19 feet.