MathDB
2022 PUMaC Individual Finals B2

Source:

September 9, 2023
geometry

Problem Statement

Given a triangle ABC\vartriangle ABC,construct squares BAQPBAQP and ACRSACRS outside the triangle ABCABC (with vertices in that listed in counterclockwise order).Show that the line from AA perpendicular to BCBC passes through the midpoint of the segment QSQS.