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