PRIMITIVE PYTHAGOREAN TRIPLES
Every primitive Pythagorean triple (a, b, c) is of the form a = m^2 − n^2, b= 2mn, c = m^2 + n^2. If m is even then n must be odd or the other way round.
Some basic properties of Pythagorean triples:
1. Exactly one leg is even.
2. Exactly one leg is divisible by 3.
3. Exactly one side is divisible by 5.
4. The area is divisible by 6.
5. The area of a Pythagorean triangle can never be a square number. Indeed, there is no Pythagorean triangle with two sides whose lengths are square
numbers.
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