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Masters Thesis | Mathematics | Philippines | Volume 13 Issue 12, December 2024 | Popularity: 4.8 / 10
Exploring the Properties and Classifications of Heron Triangles in Mathematics
Liza N. Bordios
Abstract: This study explores Heron triangles, which are unique triangles characterized by integer side lengths and areas. It classifies various types, including Pythagorean, consecutive, isosceles, and integral Heron triangles, and examines their mathematical properties such as semiperimeters, inradii, circumscribed radii, and heights. By presenting definitions, illustrations, and detailed proofs of theorems, this paper aims to deepen understanding and provide a foundation for further mathematical applications.
Keywords: Heron triangle, integer geometry, Pythagorean triangle, mathematical proofs, triangle properties
Edition: Volume 13 Issue 12, December 2024
Pages: 61 - 71
DOI: https://www.doi.org/10.21275/SR241130104014
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