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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Definitions:

Conifers

A group of cone-bearing seed plants predominantly evergreen, such as pines and firs, characterized by needles or scale-like leaves.

Gymnosperm

Seed plant whose seeds are not enclosed within a fruit; a conifer, cycad, ginkgo, or gnetophyte.

Evergreen

Plants that maintain their green foliage throughout the year, regardless of seasons.

Angiosperms

Plants that bear flowers and generate seeds that are contained within fruits, making up the largest variety of terrestrial plants.