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why is the king asking perseus to find medusa?
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In Greek mythology, King Polydectes sent Perseus to retrieve Medusa's head as a deceptive, deadly task. Polydectes desired to marry Perseus' mother Danaë, but Perseus opposed this. The king knew Medusa's gaze turned people to stone, so he hoped Perseus would be killed on the quest, removing his obstacle to marrying Danaë.
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King Polydectes (the king in the Perseus myth) sent Perseus to find Medusa because he wanted to eliminate Perseus, who was blocking his attempt to marry Perseus' mother Danaë. He knew Medusa's deadly gaze would likely kill Perseus, making the quest a trap to get rid of him.