The answer to 'why is my faucet burst pipe' is that a burst pipe under the faucet is often caused by freezing temperatures or excessive water pressure. Symptoms include a sudden leak, water spraying from the faucet, and potentially flooding. The solution may be as simple as shutting off the water supply and repairing or replacing the damaged pipe, but in some cases it may require more extensive plumbing work.
If the burst pipe is due to freezing, it's important to address the root cause by insulating exposed pipes, sealing drafts, or running a trickle of water to keep it flowing. Burst pipes from high water pressure may require installing a pressure regulator. In either case, it's best to call a professional plumber if you're not confident doing the repairs yourself, as improper work can lead to further leaks or damage.