IN THE TRIANGLE ABC, THE BISECTORS OF ∠CAB AND ∠ABC MEET AT THE...

8. In the triangle ABC, the bisectors of ∠CAB and ∠ABC meet at the in-center I. The extension of AI meets the circumcircle of triangle ABC at D. Let P be the foot of the perpendicular from B onto AD, and Q a point on the extension of AD ×such that ID=DQ. Determine the value of BQ IB× ^. BP IDC QDP I A B Answer :