Three Pulleys and a Belt The centers of three pulleys are located at the vertices of a rig...

Three Pulleys and a Belt The centers of three pulleys are located at the vertices of a right triangle whose sides are 5 inches, 12 inches, and 13 inches, as shown in the accompanying diagram. The radii of the pulleys are 1 inch, 2 inches, and 3 inches. Find the length (to the nearest tenth of an inch) of the belt that wraps around all three pulleys, as shown in the diagram.