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There Are Various Formulas That Will Generate Pythagorean Triples (2n,n21,n2+1)\left( 2 n , n ^ { 2 } - 1 , n ^ { 2 } + 1 \right)

Question 6

Multiple Choice

There are various formulas that will generate Pythagorean triples. Use the specified formula and specified values to generate a Pythagorean triple.
-For any integer n greater than 1, (2n,n21,n2+1) \left( 2 n , n ^ { 2 } - 1 , n ^ { 2 } + 1 \right) is a Pythagorean triple .
Use this method with the value n=8\mathrm { n } = 8 to generate a Pythagorean triple.


A) (8,49,81) ( 8,49,81 )
B) (8,15,17) ( 8,15,17 )
C) (16,64,128) ( 16,64,128 )
D) (16,63,65) ( 16,63,65 )

Correct Answer:

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