Hector says to achilles “hey Achilles I heard that you are the most feared warrior in all of Greece” Achilles says “yes, and I heard you are the greatest fighter in Troy and you are a prince” hector says “yes”
The Trojan war is fought because Paris, hectors brother falls in love with Helen a Sparta Queen. The two go to Troy and it starts the war.
Greece sent thousands of ships to Troy, siege of Troy lasted 10 years. During this war Achilles cousin began fighting with Hector.
Achilles was angry because Hector had killed his cousin, so he decided to battle him 1 on 1. Achilles had won the 1 on 1 war so he dragged hector behind him so there was a full view for the greeks and Trojans.
The Greeks found a way to sneak into the city, they pretend to have the ships ready to leave, but leave behind a horse which is an "offering to the gods" that horse is called the Trojan horse.
Achilles had found a women that he had fallen in with during the war. Paris sees Achilles with her and starts to fire arrows. Paris shoots Achilles foot with an arrow and he had died. The only part left was called the Achilles Tendon when they dip him into the water.