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    If the diagonal of a rhombus are 18 cm and 24 cm respectively, then its side is equal to
    Question

    If the diagonal of a rhombus are 18 cm and 24 cm respectively, then its side is equal to

    A.

    16 cm

    B.

    15 cm

    C.

    20 cm

    D.

    17 cm

    Correct option is B

    Given: The diagonal of a rhombus are 18 cm and 24 cm respectively.
    Solution:
    The diagonals of a rhombus bisect each other at right angles (90°).
    This means that each diagonal is divided into two equal halves.
    Diagonal 1 = 18 cm → Each half = 9 cm
    Diagonal 2 = 24 cm → Each half = 12 cm
    Each side of the rhombus forms the hypotenuse of a right-angled triangle, So
    s2=92+122s^2 = 9^2 + 12^2
    s2=81+144s^2 = 81 + 144
    s2=225s^2 = 225
    s=225=15 cms = \sqrt{225} = 15 \text{ cm}
    The side of the rhombus is 15 cm.
    Thus, the correct answer is (b).​​

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