An optimization problem for triangles
Metric Geometry
2026-05-14 v1
Abstract
We consider the problem of optimizing the product of the distances from a given point in a triangle to each vertex. There are two possible cases in general. For isosceles triangles, we explicitly show exactly when both cases occur.
Cite
@article{arxiv.2605.12985,
title = {An optimization problem for triangles},
author = {Tommy Murphy and Kevin Tran},
journal= {arXiv preprint arXiv:2605.12985},
year = {2026}
}