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23 May, 10:13

A square has a 40-cm diagonal. How long is each side of the square? Round to the nearest tenth of a centimeter

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  1. 23 May, 13:34
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    28.3 cm

    Step-by-step explanation:

    Let x represent the length of one side of the square. Then, by the Pythagorean Theorem,

    x^2 + x^2 = (40 cm) ^2, or

    2x^2 = 1600 cm^2.

    Thus, x^2 = 800 cm2, and x, the length of one side, is √800, or 28.3 cm to the nearest tenth of a cm.
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