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    Question

    In a triangle PQR, ST is drawn parallel to side QR. If

    PS = 8 cm, QS = 5 cm and PT = 14 cm, then find PR.
    A 21.75 cm Correct Answer Incorrect Answer
    B 22.75 cm Correct Answer Incorrect Answer
    C 23.5 cm Correct Answer Incorrect Answer
    D 20.5 cm Correct Answer Incorrect Answer

    Solution

    A line drawn parallel from two sides of a triangle to its third side divides the sides in same proportion.

    So, (PS/QS) = (PT/RT)

    Or, (8/5) = (14/RT)

    Or, RT = 8.75 cm

    So, PR = 14 + 8.75 = 22.75 cm

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