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Prove the BPT convers theorem

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Prove the BPT convers theorem

    • Posted by D R 6 years, 11 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Mutyala Gayathri 6 years, 11 months ago

    Take a triangle ABC with CD as parallel points on the side AB and AC. We need to prove CD||BC. By the bpt theorem we came to know that AC/CB = AD/DC let us assume on contradiction that cd is not ll to bc. If CD is not ll to BC then there must be another line which is ll to it. Let us assume that ll line as CE from C. If CE is ll to BC then AC/CB = AE/EC. On substituting bpt theorem and this we get AE/EC = AD/DC. Therefore, CE and CD is same line. Hence proved

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