SOLUTION: Hello, am trying to solve this problem. Unfortunately my book doesn't have this example. The three sides of a triangle are given by three consecutive integers. If the perimeter is

Question 715676: Hello, am trying to solve this problem. Unfortunately my book doesn't have this example.
The three sides of a triangle are given by three consecutive integers. If the perimeter is 12 meters, find the length of each side.
This is how am trying to solve it not so sure, any help please! thanks. The answer from the book is 3,4,5 and i only get 3,3,3. what am i doing wrong?
3x+(x)=12 3(x)+3=12
4x=12 3x=9
x=3 x=3

Found 2 solutions by Alan3354, KMST:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The three sides of a triangle are given by three consecutive integers. If the perimeter is 12 meters, find the length of each side.
This is how am trying to solve it not so sure, any help please! thanks. The answer from the book is 3,4,5 and i only get 3,3,3. what am i doing wrong?
3x+(x)=12 3(x)+3=12
4x=12 3x=9
x=3 x=3
------------------------
x + (x+1) + (x+2) = 12
3x+3 = 12
x = 3 (the 1st integer)
x+1 = 4
x+2 = 5
---------------
You did it right. "consecutive integers" --> 3, 4, 5

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
=length of shorter side
The lengths of the other two sides must be
and .
The perimeter is

Re-arranging, we get

--> --> --> -->
Then --> and
-->
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