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)
$\Rightarrow O B>O C$