On a certain cubic geometric inequality

Toufik Mansour; Mark Shattuck

On a certain cubic geometric inequality

Toufik Mansour, Mark Shattuck

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-review

Abstract

We provide a proof of a geometric inequality relating the cube of the distances of an arbitrary point from the vertices of a triangle to the cube of the inradius of the triangle. Comparable versions of the inequality involving second and fourth powers may be obtained by modifying our arguments.

Original language	English
Pages (from-to)	175–181
Journal	Forum Geometricorum
Volume	11
State	Published - 1 Jan 2011

Access to Document

https://www.researchgate.net/publication/230806008_On_a_certain_cubic_geometric_inequality

Cite this

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title = "On a certain cubic geometric inequality",

abstract = "We provide a proof of a geometric inequality relating the cube of the distances of an arbitrary point from the vertices of a triangle to the cube of the inradius of the triangle. Comparable versions of the inequality involving second and fourth powers may be obtained by modifying our arguments.",

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AU - Shattuck, Mark

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AB - We provide a proof of a geometric inequality relating the cube of the distances of an arbitrary point from the vertices of a triangle to the cube of the inradius of the triangle. Comparable versions of the inequality involving second and fourth powers may be obtained by modifying our arguments.

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VL - 11

SP - 175

EP - 181

JO - Forum Geometricorum

JF - Forum Geometricorum

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