Euclid's Muse

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Fagnano's Problem

Given a triangle, to find the inscribed triangle with minimum perimeter

Tags: fagnano, reflection, altitude

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Minimum Inscribed Perimeter
Minimum Inscribed Perimeter
Fagnano's problem Find the inscribed triangle with minimum perimeter.  You can experiment, or press the Reflect button to see how reflections can help with this problem.

Tags: Fagnano, triangle, altitude, reflection

Minimum Inscribed Perimeter 2
Minimum Inscribed Perimeter 2
The problem – find the triangle with minimal perimeter that can be inscribed in a given triangle. The solution:  reflection helps reduce the problem to a single parameter. The answer: is geometrically appealing. Can you solve it without using the hint?

Tags: triangle, Fagnano

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