Geometry · Ruler and compass construction · Thales circle · Inscribed angles · Brocard point
Let \(ABC\) be a right triangle. Construct a point \(N\) inside \(\triangle ABC\) for which
\[ \angle NBC = \angle NCA = \angle NAB. \]
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Serbian Regional Competition (Okruzno takmicenje) 2022, high school grade I, category A, problem 3. Organized by the Mathematical Society of Serbia (DMS). Source