Master'sOpen Access

Heron triangles

2016
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Advisor: Prof. Dr. Refik Keskin

Abstract (EN)

This thesis consists of fundamentally eight sections and these sections consist of subsections in itself. In the first section, the history, fundamental definitions and theorems of Heron triangles are given. In the second section, the proofs of the Heron area formulas are mentioned in term of algebraic, trigonometric and geometric. In the third section, fundamental identities and theorems of Heron triangles are demonstrated. In the fourth section, theorems related to area and perimeter identities of Heron triangles are given. In the fifth section, Heron triangles which have consecutive and arithmetic sequence lengths are investigated. In the sixth section, theorems related to incircle's radius and circumcircle's radius are given. Moreover, incircle's radius, circumcircle's radius, excircle's radius and hights are demonstrated. In the seventh section, answer of the question that, "Is (s-a,s-b,s-c) a Heron triangle when (a,b,c) is Heron triangle?" is investigated. In the eight section, the family of Heron triangles are given.

Author

Dr. Hatice Kübra Yiğit

Institution

How to Cite

Hatice Kübra Yiğit (Master Thesis). Heron triangles, 2016, Sakarya University.

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