How is the half life of carbon 14 dating used?

Archaeological artifacts of biological origin (bone, fiber, wood, plant remnants, etc.) can be aged up to approximately 50,000 years old using carbon-14 dating.

For this reason, a fossil is 11460 years old if it contains, say, 25% more carbon-14 than the living sample (because it contains one-fourth as much carbon, it is 5730*2=11460 years old).

The half-life of carbon-14 dating is used to determine the age of organic materials up to approximately 50,000 years old. This is done by measuring the rate of decay of carbon-14 isotopes in the sample and comparing it to the known half-life of carbon-14, which is approximately 5,730 years. By measuring the ratio of carbon-14 to carbon-12 in a sample, scientists can calculate how long it has been since the organism died and stopped absorbing carbon-14 from the environment.