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    Daily ChallengeMediumGeometry

    The diagonal of a square is 10210\sqrt{2} cm. What is the side length?

    A diagonal de um quadrado é 10210\sqrt{2} cm. Qual é o comprimento do lado?

    A square drawn true, with equal sides and right angles. One diagonal runs from the bottom left corner to the top right corner and is labelled 10 root 2 centimetres. A small square marks the right angle at the bottom right corner, and the angle between the diagonal and the bottom side is marked 45 degrees. Both drawn sides are labelled only with the letter s, because the side length is what is asked for.45°ss10√2 cm

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    Solution

    d=s2d = s\sqrt{2} → s=d2=1022=10s = \frac{d}{\sqrt{2}} = \frac{10\sqrt{2}}{\sqrt{2}} = 10 cm