In the given figure, AB > AC. If BO and CO are the bisectors of ∠B and

Question:

In the given figure, AB > AC. If BO and CO are the bisectors of B and ∠C respectively, then
(a) OB = OC
(b) OB > OC
(c) OB < OC

Solution:

(b) OB > OC

AB >AC    (Given)

$\Rightarrow \angle C>\angle B$

$\Rightarrow \frac{1}{2} \angle C>\frac{1}{2} \angle B$

$\Rightarrow \angle O C B>\angle O B C$ (Given)

$\Rightarrow O B>O C$

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