The second side of a triangular deck is 3 feet longer than the shorter side, and a third side is 3 feet longer than twice the length of the shortest side. The perimeter of the deck is 48 feet, what are the lengths of the three sides?

Graph a triangle (xyz) and reflect it over the line y=x to create triangle x’y’z’. describe the transformation using words. draw a line segment from point x to the reflecting line, and then draw a line segment from point x’ to the reflecting line. what do you notice about the two line segments you drew? do you think you would see the same characteristics if you drew the line segment connecting y with the reflecting line and then y’ with the reflecting line? how do you know?