Question

Please Help & Explain:

Which set of numbers represents a Pythagorean triple?

A. 6, 9, 12
B. 7, 10, 12
C. 16, 18, 25
D. 27, 36, 45

Answer 1

Check each one of them.

\(\large\color{black}{ 6^2+9^2=12^2 }\)
\(\large\color{black}{ 7^2+10^2=12^2 }\)
\(\large\color{black}{ 16^2+18^2=25^2 }\)
\(\large\color{black}{ 27^2+36^2=45^2 }\)

Answer 2

the shortest thing would be though, is to divide each of the sides in the 4th set, by 9.
And if you know that \(\large\color{black}{ 3,4,5 }\) is a pythagorean triple, you are good to go.