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

question 131

Multiple Choice

There are various formulas that will generate Pythagorean triples. Use the specified formula and specified values to generate a Pythagorean triple.
-If m is an odd positive integer greater than 1, then $\left( \mathrm { m } , \frac { \mathrm { m } ^ { 2 } - 1 } { 2 } , \frac { \mathrm { m } ^ { 2 } + 1 } { 2 } \right)$ is a Pythagorean triple.
Use this method with the value $\mathrm { m } = 5$ to generate a Pythagorean triple.

• A) \(( 5,8,18 )\)
• B) \(( 5,24,26 )\)
• C) \(( 6,12,13 )\)
• D) \(( 5,12,13 )\)

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Wealth of Nations

A seminal book by Adam Smith that examines how nations achieve wealth and economic growth.

Adam Smith

An 18th-century Scottish economist and philosopher, best known for his book "The Wealth of Nations," which lays the foundation for classical economics.

Equilibrium Price

The price at which the quantity of a good demanded by consumers equals the quantity supplied by producers, leading to market balance.

Equilibrium Quantity

The quantity of goods or services that is supplied and demanded at the equilibrium price.