Is 3, 4, 5 a Pythagorean Triple?

1 Answer
May 29, 2016

Yes.

Explanation:

Yes. A pythagorean triple is a sequence of integer numbers that solve the Pythagora's theorem.
It means that three numbers #a,b,c# are a pythagorean triples when

#sqrt(a^2+b^2)=c#

or, just to remove the square root and write it in a more elegant format

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

With #3,4,5# we have that

#3^2+4^2=5^2#

#9+16=25#

#25=25#

The next pythagorean triple is #5,12,13#, you can verify it.