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A quadrilateral ABCD is drawn to …

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A quadrilateral ABCD is drawn to circumscribe a circle. Prove that : AB +CD = AD+BC

    • Posted by Atulya Akchu 6 years, 2 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Sia ? 6 years, 2 months ago

    We know that the tangent segments from an external point to a circle are equal
     
    {tex}\therefore{/tex}  AP = AS ........(1)
    BP = BQ .......(2)
    CR = CQ .......(3)
    DR = DS .......(4)
    Adding (1), (2), (3) and (4), we get
    (AP + BP) + (CR + DR) = (AS + BQ + CQ + DS)
    {tex}\Rightarrow{/tex} AB + CD = (AS + DS) + (BQ + CQ)
    {tex}\Rightarrow{/tex} AB + CD = AD + BC

    1Thank You

    Atulya Akchu 6 years, 2 months ago

    Tq my dear frnd..... It helps me a lot..... ✌️?

    0Thank You

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