Mathematics

Problem

1. In an isosceles triangle ABC , with

\mathrm{AB}=\mathrm{AC}

, the bisectors of

\angle \mathrm{B}

and

\angle \mathrm{C}

intersect each other at O . Join A to O . Show that : (i)

\mathrm{OB}=\mathrm{OC}

(ii) AO bisects

\angle \mathrm{A}