As illustrated below and by other available solutions, after applying the Converse of the Pythagorean Theorem, this application will return a determination as to whether a triangle with the given side lengths is a Right Triangle. And if the given side lengths form a Right Triangle and they are all positive integers, the application will note that the given side lengths are a Pythagorean Triple with a further designation as primitive if the Greatest Common Factor of the side lengths equals 1. GCF(a, b, c) = 1.
If the given side lengths form a Triangle, but not a Right Triangle, the application will note that the Triangle is either Acute or Obtuse as illustrated below.
