id: 06382732
dt: j
an: 2015a.00807
au: Zimmerman, Seth
ti: Are most triangles obtuse?
so: Math. Spectr. 47, No. 1, 3-10 (2014).
py: 2014
pu: Applied Probability Trust (APT) c/o University of Sheffield, School of
Mathematics and Statistics (SoMaS), Sheffield
la: EN
cc: K50 K60 G40
ut: obtuse triangles; randomly chosen triangles; normal distribution
ci:
li:
ab: Summary: What is the probability that one of the angles of a ‘randomly’
chosen triangle is obtuse? This question was first investigated in the
nineteenth century by Lewis Carroll, who believed he had found the
answer. We first show that the question is not well defined, and survey
several of its traditional interpretations. We then look at the
question from a fresh perspective, using computer simulations to obtain
results which are different from any of those previously found.
rv: