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) $( 5,12,13 )$

Question

Quizplus · Accepted Answer

Using the formula with $m = 5$, we calculate the other two numbers: $\frac{5^2 - 1}{2} = \frac{24}{2} = 12$ and $\frac{5^2 + 1}{2} = \frac{26}{2} = 13$, resulting in the Pythagorean triple $(5, 12, 13)$.

There Are Various Formulas That Will Generate Pythagorean Triples (m,m2−12,m2+12)\left( \mathrm { m } , \frac { \mathrm { m } ^ { 2 } - 1 } { 2 } , \frac { \mathrm { m } ^ { 2 } + 1 } { 2 } \right)(m,2m2−1​,2m2+1​)

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