Final answer:
King Minos wanted Daedalus to build an inescapable labyrinth to contain the Minotaur, a monstrous half-bull, half-man creature born from Minos' wife and a white bull.
Step-by-step explanation:
The reason King Minos sought Daedalus is described in Greek mythology. According to the myths, Minos required the skills of Daedalus, a talented artisan and inventor, to construct a complex maze or labyrinth to imprison the Minotaur.
The beast was the offspring of Minos' wife and a white bull, and it was half-bull, half-man. The labyrinth was designed to be inescapable, ensuring that the Minotaur was securely contained and could not escape to terrorize the kingdom.