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That 3-4-5 triangle again

Published online by Cambridge University Press:  01 August 2016

Desmond MacHale
Desmond MacHale*
Affiliation:
Department of Mathematics, University College, Cork
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Extract

A number of authors have considered the following (and related) problems:

Find all integer-sided triangles such that the perimeter equals the area.

In the March 1981 edition of Mathematics Teacher Lee Markowitz gives the following full set of solutions (though not the considerable calculations involved):

(5, 12, 13) (6, 8, 10) (6, 25, 29) (7, 15, 20) (9, 10, 17).

However, in many formulae involving the triangle, it is the semi-perimeter rather than the perimeter that arises naturally.

Type
Research Article
Information
The Mathematical Gazette , Volume 73 , Issue 463 , March 1989 , pp. 14 - 16
Copyright
Copyright © The Mathematical Association 1989

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