The perimeter of a triangular playground is 270 feet. If the ratios of the measures of the sides of the triangle are 5:6:7, find the measure of the sides of the playground.
48 feet, 72 feet, 144 feet
60 feet, 80 feet, 100 feet
75 feet, 90 feet, 105 feet
50 feet, 60 feet, 70 feet