Final answer:
The ethmoidal artery, a branch of the internal carotid artery, supplies blood to the cartilaginous part of the nasal wall.
Step-by-step explanation:
The artery that supplies the cartilaginous part of the nasal wall is the Ethmoidal artery. It is one of the branches of the internal carotid artery that supplies blood to the head and neck. The internal carotid artery enters the cranium through the carotid foramen and gives rise to several branches including the ethmoidal artery.