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

question 2

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) \(( 63,16,65 )\)

---

Definitions:

Expert Systems

Computer systems that emulate the decision-making ability of a human expert in specific domains.

Pluralistic Politics

A political system that recognizes and accommodates diversity, allowing multiple groups or parties to coexist and influence decision-making.

Rationality

The quality of being based on or in accordance with reason or logic; often involves choosing the most efficient means to achieve a specific end.

Classical Industrial Society

Refers to a stage in societal development characterized by the growth of factories, mechanization, and mass production, typically associated with the 18th and 19th centuries.