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This article presents a brief history of how the relationship between the perimeter and the area of a triangle leads the mathematical community to become interested in this field of study. The concept of rational triangle is defined, the demonstration of Heron's formula is presented, and the contributions of Brahmagupta, Euler, and Carmichael related to the search for rational triangles are exhibited. Next, the concepts of a integral triangle and Pythagorean triangle are defined, and some of their properties are demonstrated. Finally, the concept of the perfect triangle is defined, and the results and demonstrations that allow us to conclude about their existence are presented.
Este obra está bajo una licencia de Creative Commons Reconocimiento-NoComercial-CompartirIgual 4.0 Internacional.
