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    In the figure triangle ABC and triangle BDC are similar. Then BD =
    Question

    In the figure triangle ABC and triangle BDC are similar.

    Then BD =

    A.

    8.0

    B.

    7.2

    C.

    7.5

    D.

    6.0

    Correct option is D

    Given:
    AB = 15.0
    AC = 20.0
    BC = 8.0
    Find BD

    Solution:
    Since △ ABC is similar to △ BDC, their corresponding sides are proportional.
    Using the ratio of corresponding sides:
    BD / BC = AB / AC
    Substituting the given values:
    BD / 8 = 15 / 20
    BD = 8 × (15 / 20)
    BD = 8 × 0.75
    BD = 6.0
    Final Answer:
    (d) 6.0.

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