Things to do with a broken stick

Details Things to do with a broken stick Things to do with a broken stick

2010-09-05

arxiv.org/abs/1009.0890v3

Mathematics

History and Overview

34 pages, 11 figures

Scientific paper

We use the idea of the broken stick problem (which goes back to Poincare) and calculate the corresponding probabilities for the cases in which the three broken part are: the medians in a triangle, the altitudes, radii of excircles, angle bisectors, distances from I or O to the vertices, respectively sides, and some other three elements in a triangle which determine (more or less uniquely) the triangle. For each case we also look at the probability that the triangle that is (more or less uniquely) defined by the elements, being acute and compare to that of being obtuse.

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