Applications of the theorem of Pythagoras in R3

• Autores: V.K. Srinivasan
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 41, Nº. 1, 2010, págs. 135-138
• Idioma: inglés
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• Resumen

  • Three distinct points [image omitted] and [image omitted] with [image omitted] are taken, respectively on the x, y and the z-axes of a rectangular coordinate system in [image omitted] Using the converse of the theorem of Pythagoras, it is shown that the triangle [image omitted] can never be a right-angled triangle. The result seems to be intuitive, but nevertheless requires a proof. As an application, some intuitive results about a tetrahedron are confirmed.