Question 148570
let the third side of the triangle be x.

  given  one side is  6 feet shorter than third side
i.e.       first side = x - 6 

  second side is 5 feet longer than third side
      second side =  x + 5 

  given perimeter = 29
i.e sum of three sides  = 29 

      (x-6) + (x+5) + x  = 29 
         x + x + x - 6 + 5 = 29 

                 3x - 1 = 29 
                     3x = 29 +1 = 30 
                      x = 30 / 3 = 10 

         x - 6 = 10 - 6 = 4 
           x + 5 = 10 + 5 = 15 
 i.e sides  of the triangle are 4 feet, 15 feet & 10 feet.