How does health, safety and nutrition interrelate

They all interrelate because they are factors of one another.
For example: your health may be determined by how safe the environment is you are living in. Living beside a factory may be detrimental to one’s health because of the possible pollutants.
Also, your nutrition may be impacted by your health. If you have type 2 diabetes, your nutrition will have to be altered to ensure you are safe and are not at risk for further disease.