Question

Which set of integers is a Pythagorean triple?
2,3,6
3,4,5
4,5,9
5,7,12

Answer 1

B

Explanation:

A triple a, b, c is a Pythagorean triple if

`a^2+b^2=c^2.`

Check all options:

A.

`2^2+3^2=4+9=13\\eq 6^2.`

B.

`3^2+4^2=9+16=25=5^2.`

C.

`4^2+5^2=16+25=41\\eq 9^2.`

D.

`5^7^2=25+49=74\\eq 12^2.`