Looks like you have a tee with 2 3/8" compression fittings. The best thing to do, IMO, is remove both of these water lines and buy yourself the appropriate length braided stainless steel flex connectors. You can find them labeled in the home store for a dishwasher and for a faucet. Usually the only 2 variables will be the connection size to the shutoff (either 3/8" or 1/2", most, including yours from the look of it, are 3/8"), and the length of the line. If its labeled for a dishwasher, it should have the appropriate end connection or an adapter to make the connection to the d/w. The faucet end of those lines is standard size, any that's labeled for a faucet should work. Just don't get one of the "toilet" ones or something and you'll be fine.