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    Question

    The mid points of AB and AC of a ∆ABC are X and Y,

    respectively. If BC + XY = 24 units, then the value of BC − XY is:
    A 5 cm Correct Answer Incorrect Answer
    B 4 cm Correct Answer Incorrect Answer
    C 6 cm Correct Answer Incorrect Answer
    D 8 cm Correct Answer Incorrect Answer

    Solution

    ATQ, BC + XY = 24 ..........(1) Since XY = 1/2 of BC, = 1/2BC + BC = 24 = 3BC = 24 × 2 = 3BC = 48 = BC = 16 units From Eq. (1) we get, = 16 + XY = 24 = XY = 8 units Now accordingly, = BC - XY = 16 - 8 = 8 cm ∴ The value of BC - XY is 8cm

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