Question

A triangle has a perimeter of 39 feet. If the three sides of the triangle are n, 4n-2, and 5n-9, what is the length of each side

Answer 1

`n + 4n - 2 + 5n - 9 = 39 \\ \\ 10n - 11 = 39 \\ \\ 10n = 50 \\ \\ n = 5`

so the lengths of the sides are 5, 18, 16

Answer 2

The sides are 5,18,16

Explanation:

To find the perimeter of a triangle, we add up all the sides

n +4n-2 + 5n-9 = 39

Combine like terms

10n -11 = 39

Add 11 to each side

10n-11+11 = 39+11

10n = 50

Divide by 10

10n/10 =50/10

n = 5

Now we need to find each side

n = 5

4n-2 = 4(5)-2 = 20-2 =18

5n-9 = 5(5) - =25-9 = 16

The sides are 5,18,16