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Notes: 61.22 Pythagoras in three dimensions

Published online by Cambridge University Press:  22 September 2016

B. D. Bunday
B. D. Bunday*
Affiliation:
Undergraduate School of Studies in Mathematical Sciences, University of Bradford, West Yorkshire BD7 1DP
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Extract

It appears not to be widely known that there is an analogy of the theorem of Pythagoras for a ‘right-angled tetrahedron’, i.e. a tetrahedron which can be formed by slicing off a vertex from a cuboid. The result is: the square of the area of the face opposite the vertex containing the three 90° dihedral angles is equal to the sum of the squares of the areas of the other three faces.

Type
Research Article
Information
The Mathematical Gazette , Volume 61 , Issue 418 , December 1977 , pp. 292 - 293
Copyright
Copyright © Mathematical Association 1977

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