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

Algebra ->  Triangles -> 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      Log On


   



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) About Me  (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) About Me  (Show Source):
You can put this solution on YOUR website!
n=length of shorter side
The lengths of the other two sides must be
n%2B1 and n%2B2.
The perimeter is
n%2B%28n%2B1%29%2Bn%2B2%29=12
Re-arranging, we get
%28n%2Bn%2Bn%29%2B%281%2B2%29=12
3n%2B3=12 --> 3n=12-3 --> 3n=9 --> n=9%2F3 --> highlight%28n=3%29
Then n%2B1=3%2B1 --> highlight%28n%2B1=4%29 and
n%2B2=3%2B2 --> highlight%28n%2B2=5%29