Use the Pythagorean identity. (x² - y²)² + (2xy)² = (x² + y²)², to create a Pythagorean triple. Follow these steps: 1. Choose two numbers and identify which is replacing and which is replacing y. 2. How did you know which number to use for x and for y 3. Explain how to find a Pythagorean triple using those numbers. 4. Explain why at least one leg of the triangle that the Pythagorean triple represents must have an even-numbered length.

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