Side Lengths of a Right Triangle Reproduced as Perimeters of Other Right Triangles: A Sketch and Proof

Authors

  • Richard Kaufman UMass Lowell

Abstract

In this paper, the author builds upon the work of DiDomenico (1995) and Alsina and Nelson (2011). Given an arbitrary right triangle with side lengths a, b, and c, the author illustrates a method for constructing three smaller right triangles with perimeters a, b, and c. The author also provides a link to a dynamic sketch of the construction that can be used to help students informally explore geometric relationships related to the proof.

References

DiDomenico, A.S. (citing J. Lawrence) (1995). A property of right triangles. Mathematics Teacher 88(1), 77.

Alsina, C. and Nelsen, R. B. (2011). Icons of mathematics: An exploration of twenty key images. American Mathematical Society (AMS), 82–83.

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Published

2022-05-20

How to Cite

Kaufman, R. (2022). Side Lengths of a Right Triangle Reproduced as Perimeters of Other Right Triangles: A Sketch and Proof. Ohio Journal of School Mathematics, 90(1), 44–47. Retrieved from https://ohiomathjournal.org/index.php/OJSM/article/view/8893

Issue

Vol. 90: Spring 2022

Section

Articles

License

Copyright (c) 2022 Richard Kaufman