A Pythagorean triple consists of 3 integer numbers, say, a,b and c, such that
[tex]a^2+b^2=c^2[/tex]From the given information, we can see that
[tex]\begin{gathered} a=10 \\ b=16 \\ c=19 \end{gathered}[/tex]So, if these 3 numbers are a Pythagorean triple, then the following equality must be fulfilled:
[tex]10^2+16^2=19^2[/tex]which gives
[tex]\begin{gathered} 100+256=361 \\ \end{gathered}[/tex]so we have obtained that
[tex]356=361[/tex]which is an absurd result. This means that the given numbers do not form a Pythagorean triple
