SOLUTION: The lengthsof the sides of a triangle are consecutive even integers.find the length of the longest side if it is 22 units shorter than the perimeter

Question 175194: The lengthsof the sides of a triangle are consecutive even integers.find the length of the longest side if it is 22 units shorter than the perimeter
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The lengths of the sides of a triangle are consecutive even integers.find the length of the longest side if it is 22 units shorter than the perimeter
---------------
1st 2x
2nd 2x+2
3rd 2x+4
-------------------
Equation:
2x+4 = (2x + 2x+2 + 2x + 4) -22
2x+4 = 6x + 6 -22
4x = 20
x = 5
---------
2x = 10
2x+2 = 12
2x+4 = 14
==============
Cheers,
Stan H.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
The sum of the lengths of any two sides of a triangle always exceeds the length of the third side.

Let the longest side be

If the longest side is , than the other two sides are and
So, the perimeter is

�so,the longest side is shorter than the perimeter

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