Where and are natural numbers and , let , , and .
Verify that is a Pythagorean Triple.

Question

Where  and  are natural numbers and  , let  ,  , and  .
Verify that  is a Pythagorean Triple.

Quizplus · Accepted Answer

The Answer is We need to show that We need to show that . Where , , and , it follws that or , so that , or , so that , and or , so that . Now or , which is the value of . That is, for all choices of and .

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, it follws that We need to show that . Where , , and , it follws that or , so that , or , so that , and or , so that . Now or , which is the value of . That is, for all choices of and .

or

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or

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Now

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value of We need to show that . Where , , and , it follws that or , so that , or , so that , and or , so that . Now or , which is the value of . That is, for all choices of and .

. That is, We need to show that . Where , , and , it follws that or , so that , or , so that , and or , so that . Now or , which is the value of . That is, for all choices of and .

for all choices of We need to show that . Where , , and , it follws that or , so that , or , so that , and or , so that . Now or , which is the value of . That is, for all choices of and .

and

.

Where and Are Natural Numbers and