ERIC Number: EJ882144
Record Type: Journal
Publication Date: 2010-Jan
Abstractor: As Provided
Reference Count: 0
Applications of the Theorem of Pythagoras in R[superscript 3]
Srinivasan, V. K.
International Journal of Mathematical Education in Science and Technology, v41 n1 p135-138 Jan 2010
Three distinct points A = (a, 0, 0) B = (0, b, 0) and (c, 0, 0) with abc not equal to 0 are taken, respectively on the "x", "y" and the "z"-axes of a rectangular coordinate system in R[superscript 3]. Using the converse of the theorem of Pythagoras, it is shown that the triangle [delta]ABC 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.
Descriptors: Geometric Concepts, Mathematics Instruction, Mathematical Logic, Validity, Equations (Mathematics), Problem Solving
Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Authoring Institution: N/A