Geometry - Math Problem Example

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The equation holds good for sets of three integers known as triples. Since the equation is based on Pythagorean Theorem, hence the name Pythagorean triples. A well known example of such a triple is (3, 4, 5). This implies that 32+42=52
Other such examples are (5, 12, 13), (7, 24, 25), (8, 15, 17) etc. Euclid's formula proves quite helpful in generating a series of such triples. As per this formula for an arbitrary pair of positive integers m and n such that m > n, the three numbers are;
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