MathDB
2016 Latvia National Olympiad 3rd Round Grade10Problem2

Source:

July 22, 2016
geometrycircumcircle

Problem Statement

The bisectors of the angles ∢CAB\sphericalangle CAB and ∢BCA\sphericalangle BCA intersect the circumcircle of ABCABC in PP and QQ respectively. These bisectors intersect each other in point II. Prove that PQ⊥BIPQ \perp BI.
Back to ProblemsView on AoPS