An optimization problem for triangles

Fuente: arXiv
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Auteurs principaux: Murphy, Tommy, Tran, Kevin
Format: Preprint
Publié: 2026
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author Murphy, Tommy
Tran, Kevin
author_facet Murphy, Tommy
Tran, Kevin
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2605_12985
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle An optimization problem for triangles
Murphy, Tommy
Tran, Kevin
Metric Geometry
51M04
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.
title An optimization problem for triangles
topic Metric Geometry
51M04
url https://arxiv.org/abs/2605.12985