A rational cotangents of the angles of a triangle

Edmundas  Mazėtis; Grigorijus  Melničenko

doi:10.15388/LMR.B.2014.16

Articles

Edmundas Mazėtis

Vilniaus universitetas

Grigorijus Melničenko

Lietuvos edukologijos universitetas

Published 2014-12-20

https://doi.org/10.15388/LMR.B.2014.16

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Keywords

Heronian triangles
pseudo Heronian triangles
integer lattice

How to Cite

Mazėtis, E. and Melničenko, G. (2014) “A rational cotangents of the angles of a triangle”, Lietuvos matematikos rinkinys, 55(B), pp. 84–89. doi:10.15388/LMR.B.2014.16.

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Abstract

We investigate how rational values cotangents angles of a triangle influence of its properties. The main result: cotangents of any two angles of a triangle are rational then, and only then, when a triangle similar to a triangle whose squares of sides are integer and twice the area is an integer.

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