SOLUTION: The diagnol of a square measure 12 feet. What is the measurement of a side of a square?

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Question 290097: The diagnol of a square measure 12 feet.
What is the measurement of a side of a square?
Answer by dabanfield(803) About Me  (Show Source):
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The diagonal creates a right triangle with two sides being the sides of the square. Let x be the length of the side:
Then by the Pythagorean Theorem we have:
x^2 + x^2 = 12^2
2x^2 = 144
x^2 = 72
x = sqrt(72)
x = sqrt(36*2)
x = sqrt(36)*sqrt(2)
x = 6*sqrt(2)