Best option to connect 5.1 home theatre from your TV is to connect through the Digital out COAX output jack at back of your TV but you will require either Digital to Analog Converter or 5.1 converter which you can buy from Amazon. In case you want to connect from your headphone jack out from your TV you can connect through 3.5 mm cable to RCA AUX cable to your home theatre but the sound will be only 2 channels LEFT RIGHT channel out only and low so you can better buy an amplifier for the same.