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    In ∆ABC, P and Q are the middle points of the sides AB and AC, respectively. R is point on the segment PQ such that PR: RQ = 1:3. If PR = 6cm, then th
    Question

    In ∆ABC, P and Q are the middle points of the sides AB and AC, respectively. R is point on the segment PQ such that PR: RQ = 1:3. If PR = 6cm, then the value of BC :

    A.

    46 cm

    B.

    48 cm

    C.

    44 cm

    D.

    50 cm

    Correct option is B

    PR : RQ = 1 : 3
    PR = 6 cm
    The line segment in a triangle joining the midpoint of any two sides
    is parallel to its third side and is also half of the length of the third side.
    Calculation:

    PR : PQ = 1 : 3
    1 unit = 6 cm
    PQ = 4 units = 4 × 6 = 24 cm
    Then the value of BC = 24×2 = 48 cm

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