Writing Resources
Pythagorean triples a b c are positive integer solutions to the Pythagorean theorem a² b² c² Some simple rules about Pythagorean theorem are as following Every odd number is the a side for the Pythagorean triples The formula of the b side is a² 1 2 The formula of the c side is b 1 This report will discuss how Pythagorean triples work in details and how teachers can use this to create more questions using whole numbers and perfect squares Rationale Pythagorean theorem is one of the most famous theorems It has a lot of applications in trigonometry however it is sometimes annoying to use it when finding the side length of a triangle and getting an irrational number It is rather satisfactory when finding a positive integer My partner and I had often wondered if there was a way for teachers to always give us questions in which the answer would be a positive integer Upon some research we found that there is in fact a way to make sure the solutions to these kind of questions will result in a positive integer It is through the use of pythagorean triples In this internal assessment IA we will be discussing what the pythagorean triple is its formula and how teachers can use this to create more questions using whole numbers and perfect squares Some key concepts you will need to know to understand this IA is coprime meaning mutually prime primitive infinite number of solutions Description Dickson s method
