Orthic Triangle and Minimum Perimeter Inscribed Triangle
2011-12-11 08:24
This applet explores the classic Fagnano's problem: finding the inscribed triangle with the minimum perimeter in a given acute triangle. It demonstrates that the orthic triangle, whose vertices are the feet of the altitudes of the original triangle, achieves this minimum perimeter. Using geometric constructions such as reflections, orthogonal lines, and intersections, the applet visually illustrat
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