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In triangle PQR,if S is any …

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In triangle PQR,if S is any point on the side QR , show that PQ +QR + RP> 2PS.

    • Posted by Swati Swati 8 years, 3 months ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Rahul Sharma 7 years, 10 months ago

    In ΔPQS
    Sum of any two sides is greater than the third side.
    So, PQ + QS > PS ......(1)

    In ΔPSR
    Sum of any two sides is greater than the third side.
    So, PR + SR > PS ...(2)

    Adding equations (1) and (2)

    PQ + PR + QS + SR > PS + PS

    PQ + PR + QR > 2PS   [ QS + SR = QR]

    0Thank You

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