SOLUTION: A large fireplace in a hotel has a rectangular opening with a height of 5 feet and a diagonal of 13 feet, What is the width, X, of the fireplace opening?

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 Question 602334: A large fireplace in a hotel has a rectangular opening with a height of 5 feet and a diagonal of 13 feet, What is the width, X, of the fireplace opening? Answer by nerdybill(6963)   (Show Source): You can put this solution on YOUR website!A large fireplace in a hotel has a rectangular opening with a height of 5 feet and a diagonal of 13 feet, What is the width, X, of the fireplace opening? . We can apply Pythagorean Theorem: Let x = width then x^2 + 5^2 = 13^2 x^2 + 25 = 169 x^2 = 144 x = 12 feet