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A quadrilater ABCD is draw to …

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A quadrilater ABCD is draw to circumscribe a circle

    • Posted by Riya Bansal 6 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Lionel Messi⚽️ 6 years, 10 months ago

    Let ABCD be the quadrilateral circumscribing a circle with centre O. The quadrilateral touches the circle at point P Q R S To prove : AB+ CD= AD+ BC Proof: from theorem 10.2 we get the tangents drawn from external point on circle are equal Hence, AP=PS .....1 BP= BQ.....2 CR=CQ........3 DR=DS....... 4 Adding 1, 2,3 and 4 we get AB+BP+CR+DR=PS+BQ+CQ+D'S AB+CD=AD+BC Hence proof.

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