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, $\left( 2 n , n ^ { 2 } - 1 , n ^ { 2 } + 1 \right)$ is a Pythagorean triple .
Use this method with the value $\mathrm { n } = 8$ to generate a Pythagorean triple.
A) $( 8,49,81 )$
B) $( 8,15,17 )$
C) $( 16,64,128 )$
D) $( 16,63,65 )$

Question

Quizplus · Accepted Answer

Using the formula with $n = 8$, we calculate each part of the triple as follows: $2n = 16$, $n^2 - 1 = 64 - 1 = 63$, and $n^2 + 1 = 64 + 1 = 65$. Therefore, the Pythagorean triple generated is $(16, 63, 65)$.

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

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