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A line from 1 vertex A …

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A line from 1 vertex A of an triangle ABC. Meets the opposite side BC in P and the circumcircle of triangle ABC in Q . If BQ= 4cm and CQ= 3cm then PQ is equal to?

    • Posted by Surbhi Golan 4 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Yogita Ingle 4 years, 10 months ago

    ∠BQA=∠BCA=60∘
    ∠CQA=∠CBA=60∘
    ∴QP is angle bisector of BC
    ∴BP:PC=4:3     (By angle bisector theorem)
    Now △BPQ∼△APC
    PQ/BQ ​= PC​/AC
    ⇒ PQ/4 ​=3/7BC /​BC​

    ⇒PQ= 12​/7

    0Thank You

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