Answer: No
Step-by-step explanation:
Substitute it in with the Pythagorean Theorem. You end up getting [tex]6^2+12^2=13^2[/tex]. This equation isn't true though, because [tex]6^2+12^2= 36+144= 180[/tex], and [tex]13^2=169[/tex]. This means that it isn't true. Another shortcut is that 5, 12, and 13 make up a Pythagorean Triple. This means that 6, 12, and 13 can't work.