How does the batman superman lex luthor triangle work in movies?

The Batman-Superman-Lex Luthor triangle operates as a recurring narrative framework in DC Comics and its cinematic adaptations. Lex Luthor position himself as the architect who pits Gotham's Dark Knight against Metropolis's Last Son, viewing their fundamental ideological clash as the key to his grand schemes. In most comic book iterations and films like Batman v Superman: Dawn of Justice, Luthor exploits Batman's distrust of Superman's power and Superman's compassion as weaknesses to manipulate both heroes. He often stages events that force confrontation, such as creating Doomsday or using Kryptonite weapons, knowing that their battle will weaken humanity or serve his agenda. The triangle functions because Batman represents order and fear-based justice while Superman embodies hope and trust in institutions, making their conflict a mirror of humanity's own struggles with power and morality. Luthor's genius lies in recognizing that their mutual suspicion makes them vulnerable to his manipulation, as neither fully trusts the other's methods or motives.