Question 803531
The lengths of the sides of a triangle are consecutive even integers. The perimeter is 22cm shorter than 4 times the length of the longest side. Find the lengths of all three sides.

ANswer

sides:  x , x+2 and x+4

Perimeter = x+(x+2)+(x+4) = 3x+6

then:  3x+6 = 4(x+4)-22

3x+6 = 4x-6

3x-4x = -6-6

-x = -12

x = 12

sides:  12, 14 and 16

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