Exploring Properties and Classifications of Heron Triangles in Mathematics
DOI:
https://doi.org/10.53469/jerp.2025.07(02).19Keywords:
Heron triangle, integer geometry, Pythagorean triangle, mathematical proofs, triangle propertiesAbstract
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.
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Copyright (c) 2025 Sonam Nidhi
This work is licensed under a Creative Commons Attribution 4.0 International License.
