Pythagorean triples

Pythagorean triples are sets of three whole numbers that fit the Pythagorean theorem: \(a^2 + b^2 = c^2\). Here, \(a\) and \(b\) represent the lengths of the two shorter sides of a right triangle, while \(c\) is the length of the hypotenuse, the longest side. A common example is the set \(3, 4, 5\) since \(3^2 + 4^2 = 9 + 16 = 25\), which equals \(5^2\). These triples illustrate the relationship between the sides of right triangles and find applications in various fields, including geometry, construction, and computer graphics.