Two homes are located 12 km apart (at points A and B). They are on a straight street that runs parallel to the highway that is 20 km away (see diagram). The hydroelectric company that services the area decides to run a wire from the main power line at the highway to an electrical box (at point J), and from there, wires of equal length are run from the electric box to each home. How far away from the highway should the electrical box be Highway 20 km placed in order to minimize the total amount of wire needed? 12km