How many Pythagorean triples can be created by multiplying the side lenghts in a known triple by a constant? Explain

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Mathematics

Memphis Mora

27 May, 15:12

How many Pythagorean triples can be created by multiplying the side lenghts in a known triple by a constant? Explain

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Beyonce · Answer 1

Answer: There are an infinite amount of Pythagorean Triples that could be created.

A Pythagorean Triple is a set of 3 integers that would form a right triangle. They must satisfy the equation a^2 + b^2 = c^2.

The most basic one is: 3, 4, 5

A triangle with sides of 3, 4, 5 would form a right triangle.

If we multiply each side by 2, we get 6, 8, 10. This would also be a right triangle.

We could also multiply by 3, or 4, or 5, or 6 ...

We can multiply by any number and still have a right triangle.