Dinosaurs were created with man on day 6, and have always existed beside him. They were taken on the Ark as well. Noah was over 600 years old when he went into the ark, he was wise enough to figure out to bring babies on-board. They eat less, sleep more, etc. The planet's atmosphere was much different after the Flood, which explains why most of them have died off. The word "dinosaur" wasn't coined until 1840's, the KJV was translated in 1611, which explains why the word is never mentioned in the Bible. The word "dragon" though, is mentioned many times, and a few chapters in Job describe what could only be dinosaurs. Leviathan and Behemoth.
Dragon legends are found in nearly every culture. Dinosaur petroglyphs, the Ica Stones, eyewitness tesimony (I would even venture to say Mokele-mbembe and Loch Ness monster creatures are dinosaurs)are all evidence that dinosaurs have always existed with humans. There have been dinosaur footprints and human footprints found in the same layers of fossils, the Paluxy Riverbed footprints are some of the best I have seen, but not the only ones.
After the flood, dinosaurs would have been hunted down and killed, in the same way cougars, bears, etc are killed when they are found in urban environments, because they present a threat to humans. So many of the dragon legends like Beowulf have heroic men slaying dragons to save the people. Those are likely stories that originated in reality, as anyone that would risk their life to kill a beast that is causing people harm (or could potentially) would be thought of as a hero.
I know your public-school education has you brainwashed into thinking they lived millions of years ago, but that doesn't make it fact. All that does is change your perception of how to interpret evidence, leading to disbelief in the Bible. Marxism cannot have a Creator, because in that form of religious philosophy (taught in public schools across the globe), the State is God and any evidence to the contrary is suppressed.
Fossils do not form on their own. Go kill a bird and set it in your backyard; it will never fossilize. It takes very specific conditions for a fossil to form, and the only logical explanation for the existence of fossils all over the world is a world-wide flood, just as the Bible says happened.
Please let your mind accept the possibility of a Creator for just a split-second and it will become obvious to you that you have not only been lied to, but brainwashed. Study Smithsoniangate, Evidence for a Young Earth, and Flood Geology. There is a great 18-hour lecture series on the evidence for a young earth, and the lies told in the textbooks by a man named Kent Hovind. It is available for download for free many places on the web. Many people will attack him personally, but give it a chance and listen to the arguments that you have NEVER been taught in our anti-Creation school systems. The evidence is overwhelmingly in support of a Young Earth.