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A unique property of right-angled triangles

Published online by Cambridge University Press:  01 August 2016

Gyula Darvasi
Gyula Darvasi*
Affiliation:
College of Nyíregyháza, Department of Mathematics and Computer Science, Sóstói ut 31/b, H-4400 Nyíregyháza, Hungary email: darvasi@zeus.nyf.hu
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Extract

The familiar fact that we may cut any triangle into three polygonal pieces which can be rearranged to form a rectangle is one of the most elementary problems of polygonal dissection. This fact is shown in two ways in Figure 1 where both sides of the rectangle are predetermined after setting up the triangle: one side of the triangle and half of the altitude to this side, or one altitude and half of the side at right angles to it.

Type
Articles
Information
The Mathematical Gazette , Volume 87 , Issue 508 , March 2003 , pp. 51 - 59
Copyright
Copyright © The Mathematical Association 2003

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References

1. Eves, Howard, A survey of geometry, Volume one, Allyn and Bacon, (1963) pp. 241–242.Google Scholar
2. Di Domenico, Angelo S., A property of right triangles, Mathematics Teacher, (January 1995), p. 77.Google Scholar
3. Darvasi, Gyula, A dissection property of right triangles, Octagon Mathematical Magazine (April 1996) pp. 71–74.Google Scholar
4. Darvasi, Gyula, Special dissections of the right triangle into a rectangle (in Hungarian), A Matematika Tanítása No. 1 (1997), pp. 10–14.Google Scholar
5. Darvasi, Gyula, A property of right triangles revisited, Mathematics Teacher, (May 1996), p. 442.Google Scholar