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An optimisation problem for triangles

Published online by Cambridge University Press:  01 August 2016

Tony Crilly  and
Stanley Millward
Tony Crilly
Affiliation:
Middlesex University, Trent Park, London N14 4XS, 13, The Grove, Brookman’s Park Hrtfordshire AL9 7RL
Stanley Millward
Affiliation:
Middlesex University, Trent Park, London N14 4XS, 13, The Grove, Brookman’s Park Hrtfordshire AL9 7RL
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Extract

Here is a problem which can be tackled at various levels. It has the merit of being straightforward and requiring little abstract mathematics, though it is far from trivial.

Our investigation began with the well known problem of fencing a field one of whose borders runs along a straight river. Given 100m of fencing, describe the rectangular field which has maximum area, where no fence is required along the riverbank.

Type
Research Article
Information
The Mathematical Gazette , Volume 76 , Issue 477 , November 1992 , pp. 345 - 350
Copyright
Copyright © The Mathematical Association 1992

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References

1. Dickson, L.E., History of the theory of numbers, vol 2, p 220, Chelsea reprint 1971.Google Scholar
2. Ibid, p 598.Google Scholar