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

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) $( 5,12,13 )$