n Learning and Teaching Mathematics - Pythagorean triples - a fractional approach

Volume 2010, Issue 8
  • ISSN : 1990-6811


A Pythagorean triple is a set of three positive integers which are able to form the sides of a right-angled triangle. The positive integers a , b and c form a Pythagorean triple if they satisfy the equation a2 + b2 = c2. Such triples are commonly written in the format (a,b,c), and by the end of Grade 9 most pupils would have encountered well-known examples such as (3,4,5) and (5,12,13). A Pythagorean triple is one in which the three integers a, b and c are relatively prime, i.e. where they share no common factor other than 1.

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