It would have helped had you listed the TV model or at least the inputs your TV has. I've connected a Samsung TV to a computer before. One thing I do recall is.. needing to use the correct input. If you TV has, for example, 3 HDMI ports... it's possible that only one of them is PC Compatible.
Also, some displays will not accept adapters or converters. If your computer has a VGA and DVI output, you could consider ordering a cable with DVI on one end and HDMI on the other. I used to use a cable like that without any problems.
As someone said earlier, you do have an older card. Another option would be to simply upgrade your Graphics Card to one that has an HDMI port on it. That might actually be your best solution. You don't...