That 2010 model had "internet@tv" and well, most folk would not call that "the interenet."
Are you writing you had 3 years and never got it to work? Ouch. At this point I won't bore you with trying to fix your TV internet connection issues.
The HDMI cable should be the best but I'm encountering folk that can't make that work today. Usually it's some setting on the laptop but since you've been at this for 3 years, the best advice I can give is to get some help locally.
I have purchased the above referred 2 laptops in 2010 and gifted one to my son. Both laptops are Core I5 processors and DLNA ENABLED. When created hot spot and tried to connect TV but failed even in auto mode. O.K. when ever i want stream my media to Samsung UA46C7000wr TV EVERY TIME I HAVE TO CONFIGURE MY ABOVE TV. IF I MADE A SET UP ONCE it should not ask again. My Samsung TV has a wireless dongle connected always but failed to connect internet. O.K. even when i connected my laptop through HDMI cable to TV but failed to connect to MY TV. This what am suffering that i have spent Rs.80,000/- for two laptops and Rs.1,56,000/-m for Samsung TV model UA46C7000WR gone to dogs. What shall i do now.