instruction:
You will be given a trivia clue, and the category it belongs to. You should answer with the best answer that belongs in the category and is described by the clue. For simplicity, answers should be in all lower cased letters.
question:
Category: 1930s FILMS 
Clue: In this classic film, one of the characters tries to quote the Pythagorean theorem but gets it wrong
answer:
the wizard of oz


question:
Category: ENTERTAINMENT HISTORY 
Clue: Originally known as the Missouri Rockets, they performed at the opening of an East Coast theatre in 1931
answer:
the rockettes


question:
Category: STATE NAMES 
Clue: The name of this state is derived from an Indian word meaning "great lake"
answer:

michigan