Given the values of x and y, use the Pythagorean Identity to create a set of Pythagorean Triples. x = 4, y = 7 Pythagorean Identity (x² - y²)² + (2xy)² = (x² + y²) ² 9, 56, 65 33, 42, 65 33, 56, 65 9, 42, 65

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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**Given the values of x and y, use the Pythagorean Identity to create a set of Pythagorean Triples. x = 4, y = 7**

### Pythagorean Identity

\[ (x^2 - y^2)^2 + (2xy)^2 = (x^2 + y^2)^2 \]

### Options

- ○ 9, 56, 65
- ○ 33, 42, 65
- ● 33, 56, 65
- ○ 9, 42, 65

In this example, given \( x = 4 \) and \( y = 7 \), the expression uses the Pythagorean Identity to derive a set of triples. The correct choice appears to be highlighted as "33, 56, 65."
Transcribed Image Text:**Given the values of x and y, use the Pythagorean Identity to create a set of Pythagorean Triples. x = 4, y = 7** ### Pythagorean Identity \[ (x^2 - y^2)^2 + (2xy)^2 = (x^2 + y^2)^2 \] ### Options - ○ 9, 56, 65 - ○ 33, 42, 65 - ● 33, 56, 65 - ○ 9, 42, 65 In this example, given \( x = 4 \) and \( y = 7 \), the expression uses the Pythagorean Identity to derive a set of triples. The correct choice appears to be highlighted as "33, 56, 65."
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