Hi Luna-tic - I believe dinosaurs were around the same time as man, in fact I believe the Bible mentions them several times. Of course the word dinosaur (terrible lizard) only came in to play in the 1800's, but they go under such names as behemoth, levithian and dragon in the Bible.
I believe at the time of the Flood (Noah's ark), the climate and conditions changed dramatically on earth and afterwards it became less favourable for dinosaurs to survive. That and with being hunted they died out, (look how many species are on the extinction danger list today).
Outside of the Bible I believe there is other proof of dinosaurs co-existing with man.
They only started discovering their fossils in the last couple of hundred years, but many ancient cvilisations, such as the Aztecs and Incas have pottery with paintings of men riding dinosaurs or spearing them. How come if they had never seen them?
There are fossilised footprints of dinosaurs beside human prints, of human prints even in dinosaur prints, (were they tracking/hunting them?).
DNA had been found in a fossilized dino bone, except DNA would have broken down if it had been there for millions of years.
The existence of dinosaurs is totally in keeping with the Bible.