Answer:
c) 36, 48, 60
Step-by-step explanation:
A Pythagorean Triple is a set of positive integers (a, b, c) that follows the rule:
[tex]\boxed{a^2+b^2=c^2}[/tex]
where a < c and b < c.
It always consists of:
When a and b are both even, c is even.
When one of a and b is odd and the other is even, c is odd.
(5, 7, 9) cannot be a Pythagorean Triple since it consists of all odd numbers.
(17, 20, 23) is not a Pythagorean Triple since:
[tex]\implies 17^2+20^2=23^2[/tex]
[tex]\implies 289+400=529[/tex]
[tex]\implies 689 \neq 529[/tex]
(36, 48, 60) is a Pythagorean Triple since:
[tex]\implies 36^2+48^2=60^2[/tex]
[tex]\implies 1296+2304=3600[/tex]
[tex]\implies 3600=3600[/tex]
(19, 22, 25) is not a Pythagorean Triple since:
[tex]\implies 19^2+22^2=25^2[/tex]
[tex]\implies 361+484=625[/tex]
[tex]\implies 845\neq 625[/tex]
