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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.

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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
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5. Darvasi, Gyula, A property of right triangles revisited, Mathematics Teacher, (May 1996), p. 442.Google Scholar