SOLUTION: 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
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Question 317742: 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?
Answer by texttutoring(324) (Show Source): You can put this solution on YOUR website!
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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