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Relationship between Unequal Sides of Triangle and the Angles Opposite to It.

In the given ...

Question

$In the given figure, A B > A C . If BO and CO are the bisectors of ∠ B a n d ∠ C respectively then (a) O B = O C (b) O B > O C (c) O B < O C$

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Solution

ANSWER:
(c) OB > OC
AB >AC (Given)
⇒∠C>∠B
⇒1/2∠C>1/2∠B
⇒∠OCB>∠OBC (Given)
⇒OB>OC

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