Question

The first side of a triangle measures 4 in. less than the second side, the third side is 3 in. more than the first side, and the perimeter is 15 in. How long is the third side?

If s represents the length of the second side, which of the following represents the length of the third side?

Answer 1

the answers is 7,7 in

Explanation:

hope this help

Answer 2

`\boxed{(23)/(3) ~in}` or
`\boxed{7,7~in}`

.

Explanation:

Suppose, the first side is a, the second side is b, and the third side is c. So:

→ a = s - 4

→ b = s

→ c = (s - 4) + 3

→ a + b + c = 15

First step, find the value of s

a + b + c = 15

(s - 4) + s + (s - 4) + 3 = 15

3s - 5 = 15

3s = 15 + 5

3s = 20

`s = (20)/(3)`

So, the third side is

c = (s - 3) + 4

c = s + 1

c =
`(20)/(3) + 1`

`c = (23)/(3)`

.

Happy to help :)