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Please explain the connection between Pythagorean triples and right triangles. Please help and thanks

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the Pythagorean triples are integer solutions to the Pythagorean theorem
a*a + b*b = c*c or x squared + y squared = z squared you can use abc and xyz interchangeably. using a right triangle, the c side would be the hypotenuse, the side opposite the right angle. The "a" side is the shorter of the two sides adjacent to the right angle.
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