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True or False?

Source: 2023 Taiwan TST Round 2 Independent Study 2-G

April 6, 2023
geometry

Problem Statement

Is there a scalene triangle ABCABC similar to triangle IHOIHO, where II, HH, and OO are the incenter, orthocenter, and circumcenter, respectively, of triangle ABCABC?
Proposed by Li4 and usjl.
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