Triangle Inscribed-Triangle Picking
General Mathematics
2018-05-01 v1
Abstract
Given a triangle ABC, we derive the probability distribution function and the moments of the area of an inscribed triangle RST whose vertices are uniformly distributed on AB, BC, and CA. The theoretical results are confirmed by a Monte Carlo simulation.
Keywords
Cite
@article{arxiv.1804.11007,
title = {Triangle Inscribed-Triangle Picking},
author = {Arman Maesumi},
journal= {arXiv preprint arXiv:1804.11007},
year = {2018}
}
Comments
9 pages, 2 figures