Question

The first side of a triangle measures 5 in. less than the second side, the third side is 3 in. more than the first side, and the

perimeter is 17 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?
s-5
S-2
s+3

Answer 1

see explanation

Explanation:

let s be the second side then the first side is s - 5 and the third side is

s - 5 + 3 = s - 2

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the perimeter (P) is the sum of the 3 sides of the triangle.

given P = 17 , then

s - 5 + s + s - 2 = 17

3s - 7 = 17 ( add 7 to both sides )

3s = 24 ( divide both sides by 3 )

s = 8

third side = s - 2 = 8 - 2 = 6 in