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In an isosceles triangle ABC, with …

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In an isosceles triangle ABC, with AB=AC,the bisector of angle B and angle C intersect each other at o. Join A to O. Show that: (1)OB=OC (2)AO bisect angle A

    • Posted by Dilkhush Kumar 4 years ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Gaurav Seth 4 years ago

    In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠C intersect each other at O. Join A to O. Show that:

    (i) OB = OC
    (ii) AO bisects ∠A.

    <hr />

    Given: In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠C intersect each other at O. Join A to O.
    To Prove: (i) OB = OC
    (ii) AO bisects ∠A.
    Proof: (i) AB = AC    | Given
    ∴ ∠B = ∠C
    | Angles opposite to equal sides of a triangle are equal

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    ANSWER
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