An electrical engineer designed a model of a field where four standing telephone poles represent four edges of a rectangular prism, as modeled below. B A E 12 in 15 in 0 5 in D H Note: Figure is not drawn to scale. The engineer labeled the tops and bottoms of each telephone pole as a vertex on the rectangular prism to keep track of where wires need to be attached. The engineer must find the required lengths of wire needed to connect three vertices to point G. Find the lengths, in inches, that each of the wires must be on the model. Then, order the lengths from least to greatest. Answers should be rounded to the nearest hundredth of an inch.