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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.

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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 3E
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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.
Transcribed Image Text: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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