A triple (a,b,c) is said to be a pythagorean triple if and only if
[tex]a^2+b^2=c^2[/tex]We only need to check if this equation holds to the triple (10,24,26)
We have
[tex]10^2=100[/tex][tex]24^2=576[/tex][tex]26^2=676[/tex][tex]10^2+24^2=100+576=676=26^2[/tex]Since the equation holds, the triple is indeed a pythagorean triple
