We can check each of these using the Pythagorean Theorem, [tex]a^2 + b^2 = c^2[/tex]
Option A:
[tex].5^2 + 1.2^2 = 1.3^2
[/tex]
.25 + 1.44 = 1.691.69 = 1.69
This option works
Option B
[tex]1^2 + 2^2 = 3^2[/tex]
1 + 4 = 9
5 ≠ 9
This option does not work, but let's check the others to make sure
Option C:
[tex]6^2 + 8^2 = 10^2[/tex]
36 + 64 = 100
100 = 100
This option works
Option D:
[tex]3^2 + 4^2 = 5^2[/tex]
9 + 16 = 25
25 = 25
This option works
So, after doing the calculations, we see that option B does not work
