MathDB

10.2

Part of 2023 Sharygin Geometry Olympiad

Problems(1)

euler line touches incircle, prove triangle is obtuse

Source: Sharygin Finals 2023 10.2

8/2/2023
The Euler line of a scalene triangle touches its incircle. Prove that this triangle is obtuse-angled.
geometrySharygin Geometry OlympiadSharygin 2023Euler