There Are Various Formulas That Will Generate Pythagorean Triples $r$ And $s$

Multiple Choice

There are various formulas that will generate Pythagorean triples. Use the specified formula and specified values to generate a Pythagorean triple.
-For positive integers $r$ and $s$ such that $r > s$ , the following set of equations will generate $a$ Pythagorean triple $( a , b , c )$ .
$a = r ^ { 2 } - s ^ { 2 } , b = 2 r s , c = r ^ { 2 } + s ^ { 2 } \text {. }$
Use this method with the values $\mathrm { r } = 8$ and $\mathrm { s } = 1$ to generate a Pythagorean triple.

A) $( 64,15,68 )$
B) $( 14,16,18 )$
C) $( 64,18,65 )$
D) $( 63,16,65 )$