In the photos I cannot really see the type of connections of your laptop.
There should be a video connection on one side of your laptop that fits your tv. This is typically a video cable which ends on one side with a video connector and in the other with an euroconnector. Once you connect both, function+F5 should bring the image of your labtop in your tv. If this does not work, you should go to properties of your labtob and add the option of a second working screen.