A walkway forms one diagonal of a square playground. The walkway is 24 m long. How long is a side of the​ playground?

Question

A walkway forms one diagonal of a square playground. The walkway is 24 m long. How long is a side of the​ playground?

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Ngọc Khuê 4 months 2021-09-05T15:20:33+00:00 1 Answers 20 views 0

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    2021-09-05T15:21:54+00:00

    The diagonal of a square can be obtained by the Pythagorean theorem and is given by:

    Diagonal = root (L ^ 2 + L ^ 2)

    Where,

    L: Sides of the squares

    Clearing L, we have:

    (Diagonal) ^ 2 = L ^ 2 + L ^ 2

    (Diagonal) ^ 2 = 2L ^ 2

    L ^ 2 = ((Diagonal) ^ 2) / 2

    L = (((Diagonal) ^ 2) / 2) ^ (1/2)

    Substituting

    L = (((24) ^ 2) / 2) ^ (1/2) = 16.97

    The side of the playground is 16.97m long

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