MathDB
SMT 2023 Geometry #8

Source:

May 2, 2023
geometryperpendicular bisectorcircumcircle

Problem Statement

In acute triangle △ABC\triangle ABC, point RR lies on the perpendicular bisector of ACAC such that CA‾\overline{CA} bisects ∠BAR\angle BAR. Let QQ be the intersection of lines ACAC and BRBR. The circumcircle of △ARC\triangle ARC intersects segment AB‾\overline{AB} at P≠AP\neq A, with AP=1AP=1, PB=5PB=5, and AQ=2AQ=2. Compute ARAR.
Back to ProblemsView on AoPS