The Diagonal of a Square

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What is the approximate length, in inches, of the diagonal of a square of an area of 200 square inches?

Review: The Diagonal of a Square


Explanation

The diagonal of a square is the hypotenuse of a 45-45-90 triangle whose two equal sides are sides of the square. Meanwhile, the area of this square is , so a side of the square is . Hence, the equal sides of the triangle in question are each . The sides of a 45-45-90 are in the ratio , so in this case we can say and therefore . Finally, .

The correct answer is (B).


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