Prompt: 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. Number your responses from 1 to 4 so your instructor can tell which question you're responding to.

Prompt: 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. Number your responses from 1 to 4 so your instructor can tell which question you're responding to.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Prompt:
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.
Number your responses from 1 to 4 so your instructor can tell which
question you're responding to.

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