Viviani

Construeix un triangle equilàter. [br][br]Troba un punt de l'interior tal que la suma de les distàncies als costats sigui mínima.[br][br]I si volem que la suma de les distàncies sigui màxima, on l'hem de situar?[br][br]En què coincideix aquesta suma? Justifica-ho.[br][br][img]data:image/png;base64,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[/img][br]Construeix ara un pentàgon regular. Es compleix també la mateixa propietat? Justifica-ho.

Information: Viviani