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Pythagorean Theorem: BC^2 = AB^2 + AC^2 |
That is why we call the equation x^2 + y^2 = z^2 the Pythagorean equation and its solution (x,y,z) is called a Pythagorean triple. Of course, we only consider integer solutions.
Today, we will solve the Pythagorean equation and show that this equation has an infinite number of solutions.