On the distribution of a random triangle
- 1 June 1977
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 14 (02) , 284-297
- https://doi.org/10.1017/s0021900200104966
Abstract
In this paper we find the distribution of the area X of a randomly chosen triangle within a given triangle T. An extension of the classical Crofton technique is used in setting up a sequence of differential equations to obtain the desired distribution.Keywords
This publication has 1 reference indexed in Scilit:
- What is the Expected Volume of a Simplex Whose Vertices are Chosen at Random from a Given Convex Body?The American Mathematical Monthly, 1969