SOLUTION: A triangle has a perimeter of 31 ft. If one side is five feet shorter than the longest side, and one foot longer than the shortest side, find the dimensions of the triangle.

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Question 947965: A triangle has a perimeter of 31 ft. If one side is five feet shorter than the longest side, and one foot longer than the shortest side, find the dimensions of the triangle.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A triangle has a perimeter of 31 ft. If one side is five feet shorter than the longest side, and one foot longer than the shortest side, find the dimensions of the triangle.
longest side = x ft
side = x-5 ft
shortest = side - 1 = x-6 ft
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Equation:
x + (x-5) + (x-6) = 31
3x - 11 = 31
3x = 42
x = 14 ft (longest side)
x-5 = 9 ft (medium side)
x-6 = 8 ft (shortest side)
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Cheers,
Stan H.
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