The perimeter of a triangle is 42 feet. One side of the triangle is one foot longer than the second side. The third side is five feet longer than the second side. Find the lengths of all three sides (in feet). (Enter your answers as a comma-separated list.)

Answer:12 ft, 13 ft , 17 ftStep-by-step explanation:let x be the length of the second side , thenone side is x + 1third side is x + 5the perimeter P is the sum of the 3 sides, thenP = x + x + 1 + x + 5 ← collect like termsP = 3x + 6given P = 42 , then equating gives3x + 6 = 42 ( subtract 6 from both sides )3x = 36 ( divide both sides by 3 )x = 12x + 1 = 12 + 1 = 13x + 5 = 12 + 5 = 17the 3 sides are 12 ft, 13 ft , 17 ft