The lengths of the sides of a triangle are
consecutive even integers. Find the length of the
longest side if it is 14 units shorter than the
perimeter.
Let the three sides be: x, %28x%2B2%29, %28x%2B4%29 then the perimeter: p+=+x+%2B+%28x%2B2%29+%2B+%28x%2B4%29 p+=+3x+%2B+6 - the longest side is it is 22 units shorter than the perimeter, so you will have %283x%2B6%29+-+%28x%2B4%29+=+22 3x+%2B+6+-+x+-+4+=+22 2x+%2B+2+=+22 2x+=+22+-+2 2x+=+20 x+=+10, ........the shortest side then 10+%2B+4+=+14 units is the longest side
