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2 August, 09:42

Find the diagonal of a square whose sides are of the given measure.

7 square root of 3

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  1. 2 August, 13:34
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    I encourage you to draw in the diagonal. The diagonal of a square will create a triangle with the sides of the square. Specifically, this is a right triangle as the angles of a square are right angles by definition.

    Use the Pythagorean theorem: a^2 + b^2 = c^2. In this case, sides a and b are each 7sqrt (3), and c is the diagonal of the square.

    a^2 + b^2 = c^2

    (7sqrt3) ^2 + (7sqrt3) ^2 = c^2

    294 = c^2

    c = sqrt (294) = 7sqrt (6)
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