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
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 & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 8RE
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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."](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3fe4e0d9-a441-4076-9243-8e98c4a90bfe%2Fe50cf052-9966-41a8-b61a-b3acf520a7f5%2F7vstfdi_processed.jpeg&w=3840&q=75)
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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