New Proofs of Triangle Inequalities
General Mathematics
2020-01-30 v4
Abstract
We give three new proofs of the triangle inequality in Euclidean Geometry. There seems to be only one known proof at the moment. It is due to properties of triangles, but our proofs are due to circles or ellipses. We aim to prove the triangle inequality as simple as possible without using properties of triangles.
Keywords
Cite
@article{arxiv.1803.01317,
title = {New Proofs of Triangle Inequalities},
author = {Norihiro Someyama and Mark Lyndon Adamas Borongan},
journal= {arXiv preprint arXiv:1803.01317},
year = {2020}
}