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    If the length of the diagonals of a rhombus are 32 cm and 24 cm, then the length of each side of the rhombus will be:
    Question

    If the length of the diagonals of a rhombus are 32 cm and 24 cm, then the length of each side of the rhombus will be:

    A.

    30 cm

    B.

    20 cm

    C.

    40 cm

    D.

    10 cm

    Correct option is B

    Given:

    Length of the diagonals of a rhombus = 32 cm, 24 cm

    Concept Used:

    The diagonals bisect each other at right angles, forming two right-angled triangles.

    Solution:

    The length of each side is given by the Pythagorean theorem:

    s = (322)2+(242)2\sqrt{\left(\frac{32}{2}\right)^2 + \left(\frac{24}{2}\right)^2}​​

    s = 20 cm

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