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we define a Pythagorean triple to be slender if the two largest elements in the triple differ by exactly 1, such as in (3, 4, 5) and (5, 12, 13). Prove that there are infinitely many slender Pythagorean triples.

we define a Pythagorean triple to be slender if the two largest elements in the triple differ by exactly 1, such as in (3, 4, 5) and (5, 12, 13). Prove that there are infinitely many slender Pythagorean triples.

Algebra and Trigonometry (6th Edition)
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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we define a Pythagorean triple to be slender if the two largest elements in the triple differ by exactly 1, such as in (3, 4, 5) and (5, 12, 13). Prove that there are infinitely many slender Pythagorean triples.
Transcribed Image Text:we define a Pythagorean triple to be slender if the two largest elements in the triple differ by exactly 1, such as in (3, 4, 5) and (5, 12, 13). Prove that there are infinitely many slender Pythagorean triples.
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