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Random triangles

Published online by Cambridge University Press:  22 September 2016

Trevor Easingwood
Trevor Easingwood*
Affiliation:
Derby Lonsdale College of Higher Education, Derby DE3 1GB
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Extract

“What is the probability that a randomly drawn triangle is acute-angled?” The problem sounds simple enough. However, what is interesting about it is the interpretation given to “random”. We investigate three possibilities

(a) that the angles of the triangle are chosen;

(b) that the lengths of the sides are chosen; and

(c) that the coordinates of the vertices of the triangle are chosen.

Type
Research Article
Information
The Mathematical Gazette , Volume 65 , Issue 434 , December 1981 , pp. 245 - 249
Copyright
Copyright © Mathematical Association 1981

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