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: MATHEMATICS 
Clue: Term for the side of a right triangle that is opposite the 90° angle
answer:
hypoteneuse


question:
Category: WHAT'S THE BIG IDEA? 
Clue: The 21st century doctrine named for this man allows the U.S. to wage preventive war if an attack on us is coming
answer:
george w. bush


question:
Category: 17th CENTURY SCIENCE 
Clue: About 1621 William Oughtred invented this device that stuck out of nerds' shirt pockets well into the 20th century
answer:

slide rule