83.4k views
14 votes
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.

User Forkadam
by
7.7k points

1 Answer

6 votes

Answer:

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.

User Setrofim
by
9.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories