SOLUTION: The lengths of the sides of a triangle are three consecutive even integers. Find the length of the longest side if it is 22 units shorter than the perimeter.
Thank you.
Algebra.Com
Question 812756: The lengths of the sides of a triangle are three consecutive even integers. Find the length of the longest side if it is 22 units shorter than the perimeter.
Thank you.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= length of the longer side,
so
Since consecutive even integers are 2 units apart,
= length of the medium-length side
= length of the shortest side
The perimeter is the sum of the side lengths, so
That is our equation.
I will work on that equation in lots of baby steps,
just in case you want to see all those steps.
You probably want to use less steps,
and your teacher probably does not expect or want to see too many steps.
Adding to both sides of the equal sign, we get
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