We need to study in each case the relationship given by the pythagorean theorem, which states: a^2 + b^2 = hypotenuse^2
First image (A):
The square's areas are:
34 , 3^2 and 5^2 . That is: 34 , 9 and 25
when we add 9 + 25 = 34
so the theorem holds true.
Second image(B):
225, 8^2, and 16^2 . That is: 225, 64, and 256
we notice that 225 + 64 = 289 which is NOT 256. So this case is FALSE.
Third image (C):
Areas : 10^2, 24^2 and 26^2 . That is: 100, 576, and 676
we notice that 100+ 576 = 676, so the relationship holds true.
Fourth image (D):
1600, 1681 and 9^2 That is: 1600, 1681, and 81
we notice that 1680 + 81 1681, then the relationship holds true.
The FALSE one is figure B.