Open AccessA rational cotangents of the angles of a triangle
Author(s) -
Edmundas Mazėtis,
Grigorijus Melničenko
Publication year - 2014
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.b.2014.16
Subject(s) - integer (computer science) , isosceles triangle , mathematics , combinatorics , geometry , computer science , programming language
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.