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MathNet 2023-part-06 — 191 problems (EN–VI) Question 107

Math Olympiad Vault · MathNet 2023-part-06 — 191 problems (EN–VI)

Question 107

Is there a scalene triangle $ABC$ such that triangle $ABC$ is similar to triangle $IHO$, where $I$, $H$, $O$ are the incenter, orthocenter and circumcenter of triangle $ABC$, respectively?