(HELP 50 POINTS)
A beach lifeguard wants to create the largest triangular area he can with three lengths of rope to provide beach goers with maximum amount of space to play and swim in the water. Multiple buoys are attached to each rope in order to identify the designated swimming area. The first rope is 42 feet long, the second is 50 feet long, and then the third is 107 feet long. The lifeguard can only cut one of the ropes in order to create a triangle with the largest possible perimeter. How much rope, in feet, will be remaining after the lifeguard creates the designated swimming triangle? (Note: answer should be a whole number.)