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.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> 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.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



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) About Me  (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
-----
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)
--------------
Cheers,
Stan H.
--------------