Geometry · Napoleon triangle · Constant angle locus · Circumscribed triangles · Composition of rotations · Chord midpoints · Extremal construction
Problem 4, 2008
← Prev · 198 / 198 · Next →Circumscribe about a given triangle \(ABC\) an equilateral triangle \(PQR\) whose side is as long as possible.
(Here \(\triangle PQR\) is called circumscribed about \(\triangle ABC\) when \(A \in QR\), \(B \in RP\) and \(C \in PQ\).)
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Serbian National Competition (Drzavno takmicenje) 2008, high school grade I, category A, problem 4. Organized by the Mathematical Society of Serbia (DMS). Source