MathDB

6

Part of 2022 Sharygin Geometry Olympiad

Problems(1)

Geometric inequality

Source: Sharygin CR P6(Grades 8-9)

3/4/2022
The incircle and the excircle of triangle ABCABC touch the side ACAC at points PP and QQ respectively. The lines BPBP and BQBQ meet the circumcircle of triangle ABCABC for the second time at points P′P' and Q′Q' respectively. Prove that PP′>QQ′PP' > QQ'
Sharygin Geometry OlympiadSharygin 2022geometric inequalityinequalities