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The second side of a triangular deck is 6 feet longer than the shortest side and a third side that is 6 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 56 ​feet, what are the lengths of the three​ sides?

Respuesta :

sqdancefan

Answer:

  • 14 ft
  • 20 ft
  • 22 ft

Step-by-step explanation:

Let s represent the length of the shortest side. Then the other two sides are ...

  • s +6
  • 2s -6

The perimeter is the sum of the lengths of the three sides, so is ...

  56 ft = s + (s+6) + (2s-6) = 4s . . . . collect terms

  14 ft = s . . . . . . . divide by the coefficient of s

The shortest side is 14 ft; the second side is 20 ft; the third side is 22 ft.