Answer
The half-life of Carbon-14 is too short for this technique to be useful to date dinosaur bones.
Work Step by Step
The half-life of C-14 is 5730 years. Dinosaur bones are many millions of years old, and too little C-14 remains. It would be difficult to distinguish between, say, bones from 75 million years ago or 100 million years ago. Longer-lived radioactive isotopes must be used.
This is discussed on page 631.