Jude is making a door for a door frame with an opening that measures 9 feet by 3 feet. Which diagonal length should he use to make a door that fits in the door frame?

The door’s diagonal is the hypotenuse of a right triangle with side lengths 9 feet and 3 feet. By the Pythagorean theorem, its length is √(9² + 3²) = √(81 + 9) = √90 feet. So he should use a diagonal length of square root of 90 feet.

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