A rational sine and cosine of the angles of a triangle

Edmundas  Mazėtis; Grigorijus  Melničenko

doi:10.15388/LMR.B.2013.28

Articles

Edmundas Mazėtis

Lithuanian University of Educational Sciences

Grigorijus Melničenko

Lithuanian University of Educational Sciences

Published 2013-12-20

https://doi.org/10.15388/LMR.B.2013.28

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Keywords

Pythagorean triangles
Heronian triangles
Pythagorean angles
sines
cosines

How to Cite

Mazėtis, E. and Melničenko, G. (2013) “A rational sine and cosine of the angles of a triangle”, Lietuvos matematikos rinkinys, 54(B), pp. 151–154. doi:10.15388/LMR.B.2013.28.

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Abstract

The article deals with triangles whose sines and cosines of the angles are the rational numbers. We prove that these triangles are similar to Pythagorean or Heronian triangles, and vice versa.

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