**Q:** The longest side of a triangle is four inches longer than the shortest side. The remaining side is two inches longer than the shortest side. The perimeter of the triangle ( the sum of the lengths of the sides) is 24 inches. what is the length of the longest side?

**A:** Let x = shortest side

Let y = middle side

Let z = longest side

z = x+4

y = x+2

The perimeter is 24 inches:

P = x+y+z

24 = x+y+z

Now plug in the information y = x+2 and z = x+4:

24 = x+ x+2 + x+4

24 = 3x +6

18 = 3x

x=6

y=x+2

y=6+2

y=8

z=6+4

z=10

x=6

y=8

z=10

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