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Prove Angel Bisector Theorem

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Prove Angel Bisector Theorem

    • Posted by Yash Deo 7 years, 4 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Dibya Ranjan Das Das 7 years, 4 months ago

    Given:AD bisects angle A To prove:BD/DC=AB/AC Construction:Extend AB to E such that CE parallel to AD. Proof:angle BAD=angle DAC (given) AD paralel CE angle BAD=angle AEC ( corresponding angle) angle DAC=angle AEC angleDAC=angleACE(alt.int.angle) angle ACE=angle AEC So,AC=AE In ∆BEC AD parallel CE BD/DC=BA/AE(by bpt) BD/DC=AB/AC(proved)

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