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Fagnano's Problem

In a given Acute-angled Triangle $\Delta ABC$, Inscribe another Triangle whose Perimeter is as small as possible. The answer is the Orthic Triangle of $\Delta ABC$.


Coxeter, H. S. M. and Greitzer, S. L. Geometry Revisited. Washington, DC: Math. Assoc. Amer., pp. 88-89, 1967.

© 1996-9 Eric W. Weisstein