Cat with tapeworms but not many symptoms, what should I do?

So my cat threw up in my bedroom last night and this morning I noticed two long things next to it. (I've tried to attach a picture so I hope it worked) However his appetite is fine he hasnt got diarrhoea and he hasnt been outside for weeks (because he went missing for 3 months) so I'm confused. Are these worms? If so where are the from and how do i treat them without going to the vet? -and how quickly do they need to be treated?
Thanks

Heres the image

They are worms. He needs working medication from the vet. Please show them this photo.

Looks nasty. You will probably need to see a vet for this one. Gonna need some heavy duty worming