Problema Solution

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.

Answer provided by our tutors

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1st 2x

2nd 2x+2

3rd 2x+4

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Equation:

2x+4 = (2x + 2x+2 + 2x + 4) -22

2x+4 = 6x + 6 -22

4x = 20

x = 5

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2x = 10

2x+2 = 12

2x+4 = 14