Question

In the figure given, if $\Delta ABC$ is an isosceles triangle and OB and OC are angle bisectors of $\angle B$ and $\angle C$ respectively, then $\Delta BOC$ is ____.

• A. isosceles
• B. equilateral
• C. scalene
• D. right-angled

Answer 1

The correct option is A isosceles

In $\Delta ABC$, $\angle ABC=\angle ACB$

So, $\frac{\left(\angle ABC\right)}{2}=\frac{\left(\angle ACB\right)}{2}$

$\angle BOC=\angle BCO$

Therefore, $\Delta BOC$ is also isosceles.