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) About Me  (Show Source):
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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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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