Geometry · Equilateral triangle · Inscribed angle · Translation · Circle with a given diameter · Angle inequalities
Problem 2, 2004
← Prev · 39 / 39 · Next →In an equilateral triangle \(ABC\) the side has length \(|AB| = 2\). Let \(M\) and \(N\) be interior points of the side \(AB\) with \(|MN| = 1\). Prove that
\[ \angle MCN > 30^\circ . \]
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Serbian Republic Competition (Republicko takmicenje) 2004, high school grade I, category A, problem 2. Organized by the Mathematical Society of Serbia (DMS). Source