What is the specialty of the mathematician Pythagoras?

Pythagoras is best known for his work with right triangles, particularly for formulating the Pythagorean theorem. This theorem establishes a fundamental relationship between the lengths of the sides of a right triangle—specifically, that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. This principle is crucial in both mathematics and practical applications, such as in construction and navigation, making Pythagoras' contribution significant in the study of geometry and trigonometry.

While Pythagoras contributed to areas such as geometry broadly and his teachings had implications for algebra over time, his most distinct and renowned specialty is specifically tied to right triangles, setting foundational concepts in mathematics that are still taught today. Thus, his legacy primarily revolves around this particular geometric figure and its properties.