MathDB
Tuymaada 2022

Source: Tuymaada 2022 Junior P-3

September 12, 2022
geometry

Problem Statement

Bisectors of a right triangle ABC\triangle ABC with right angle BB meet at point I.I. The perpendicular to ICIC drawn from BB meets the line IAIA at D;D; the perpendicular to IAIA drawn from BB meets the line ICIC at E.E. Prove that the circumcenter of the triangle IDE\triangle IDE lies on the line AC.AC. (A. Kuznetsov )