Geometrical Inequalities in Acute Triangle Involving the Medians VI
The purpose of this paper is to demonstrate a new open question that generalizes previous open questions formulated by researchers in the field of geometrical inequalities. In this sense we have proved that in every acute triangle ABC from a < b < c does not result a −2n−1 + m−2n−1 a < b...
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| Format: | Article |
| Language: | English |
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Editura Universităţii "Petru Maior"
2015-06-01
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| Series: | Scientific Bulletin of the ''Petru Maior" University of Tîrgu Mureș |
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| Online Access: | http://scientificbulletin.upm.ro/papers/2015-1/10%20Geometrical%20inequalities%20Bela%20Finta.pdf |
| Summary: | The purpose of this paper is to demonstrate a new open question that generalizes previous open questions formulated by researchers in the field of geometrical inequalities.
In this sense we have proved that in every acute triangle ABC from a < b < c does not result a
−2n−1 + m−2n−1
a < b−2n−1 + m−2n−1
b < c−2n−1 + m−2n−1
c, where n ∈ N.
For the demonstration we have deduced two theorems that allowed the formulation of the main conclusion. |
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| ISSN: | 1841-9267 2285-438X |