SOLUTION: 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?

Question 194832: 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

Found 2 solutions by jojo14344, KnightOwlTutor:
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

If s represents the length of the second side, which of the following represents the length of the third side?
s - 5
s - 2, Answer
s + 3

Proof:
, 5 inches less than 2nd side

, 3 inches more than 1st side

Solving Perimeter:

----> ---->
, 2nd side
, 1st side
, 3rd side

Check,

Thank you,
Jojo

Answer by KnightOwlTutor(293) (Show Source): You can put this solution on YOUR website!
Side 2=s
side 1=s-5
side 3=s-5+3=s-2
(s)+(s-5)+(s-2)=17
3s-7=17
add 7 to both sides
3s=24
divide both sides by 3
s=6
third side =6-2=4

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
second side of the triangle =s
first side of the triangle is =s-5
3rd side is =(s-5)+3=s-2
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