# Prove that OD is a the angle bisector of the angle BOC.

Let $ABC$ be a non-isosceles triangle and $I$ be the intersection of the three internal angle bisectors. Let $D$ be a point of $BC$ such that $ID \perp BC$ and $O$ be a point on $AD$ such that $IO \perp AD$. Prove that $OD$ is a the angle bisector of $\angle BOC$.

• Angle bisector of which angle? – user26486 Oct 22 '14 at 14:57
• mathh: BOC. You, Kim Jong Un do it this problem, please. – Do Hoai Phuong Oct 22 '14 at 15:07
• @DoHoaiPhuong: I can't do much until I get home tonight. By then, someone will most likely have helped you already. Cheers. – Kim Jong Un Oct 22 '14 at 15:33
• Already 18 hours. Kim Jong Un,Have you solved this problem yet? you solved this problem yet? – Do Hoai Phuong Oct 23 '14 at 10:08
• @DoHoaiPhuong: Your impatient demands are rude, and unlikely to spur interest in solving your problem. – copper.hat Oct 23 '14 at 14:48