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Category: Number Theory

RMO – 2007 | An Insight into Pythagorean triplets

Posted on December 30, 2018September 25, 2024 by bubuenaa

Q) Let  be three natural numbers such that  and . Suppose there exists an integer  such that  form the sides of a right-angled triangle. Prove that there exist integers  such that  Before we go to the solution of this problem, let us get into some theory of Pythagorean Triplets. We define a triplet of integers  as a Pythagorean triplet, if  form… Continue reading

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