SOLUTION: The lengths of the sides of a triangle are consecutive even integers. Find the length of the longest side if it is 22 cm shorter than the perimeter.
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Question 389316: The lengths of the sides of a triangle are consecutive even integers. Find the length of the longest side if it is 22 cm shorter than the perimeter.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
Let the three sides be: , ,
then the perimeter:
- the longest side is it is units shorter than the perimeter, so you will have
, ........the shortest side
then
units is the longest side
Check solution
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