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    The area of a square is 289 cm2cm^2cm2​. Find the length of its diagonal.
    Question

    The area of a square is 289 cm2cm^2​. Find the length of its diagonal.

    A.

    17√2 cm

    B.

    19√2 cm

    C.

    15√2 cm

    D.

    13√2 cm

    Correct option is A

    Given:

    The area of the square = 289 cm2cm^2​​

    Formula Used:

    The area of the square = a2a^2​​

    Diagonal of the square = √2 × a

    Where,

    a = side of the square

    Calculation:

    The area of the square = 289 cm2cm^2​​

    => a2= 289

    => a = 17 cm

    Diagonal of the square = √2 × a

    => √2 × 17

    => 17√2 cm

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