Final answer:
Achilles' best friend, killed by Hector, is named Patroclus. The name of Achilles' best friend, who gets killed by Hector, is Ajax.
Step-by-step explanation:
The name of Achilles' best friend, who gets killed by Hector, is Patroclus. Patroclus is a significant figure in Homer's Iliad, and his death at the hands of Hector, the Trojan prince, is a pivotal moment in the epic. The name of Achilles' best friend, who gets killed by Hector, is Ajax. While the conversation between Dr. Beth Harris and Dr. Steven Zucker on an amphora depicting Achilles and Ajax hints at the tragedy of the Trojan War and the fate of its heroes, it is Patroclus, not Ajax, who is Achilles' close companion whose death incites Achilles to return to battle.