[tex]\huge{\boxed{\text{3) \bf{9, 40, 41}}}}[/tex]
A Pythagorean triple is a set of three numbers where [tex]a^2 + b^2 = c^2[/tex].
Trying 1:
[tex]1^2+3^2=10^2[/tex]
[tex]1+9=100[/tex]
[tex]10=100[/tex]
Incorrect.
Trying 2:
[tex]4^2+5^2=9^2[/tex]
[tex]16+25=81[/tex]
[tex]41=81[/tex]
Incorrect.
Trying 3:
[tex]9^2+40^2=41^2[/tex]
[tex]81+1600=1681[/tex]
[tex]1681=1681[/tex]
Correct!
Trying 4: (unnecessary, but practice is good)
[tex]16^2+30^2=44^2[/tex]
[tex]256+900=1936[/tex]
[tex]1156=1936[/tex]
Incorrect.
