The correct answer to this open question is the following.
The strengths that Odysseus demonstrates in his encounter with the cyclops are cunning and intelligence.
When Odysseus encounters the cyclops in book 9 he shows the traits of a great hero that is smart enough and intelligent enough to save his life and his men's life. He demonstrates that he is a true warrior that dares to confront any difficult situation and also uses his cunning outsmart his opponents.
The "Oddysey" and the "Illiad" are the two most classical books of ancient Greece written by poet Homer.