Question

Does the sum of the areas of the smaller squares equal the area of the larger square?
A = 52 = 25
A = 132 = 169
5
13
12
A = 122 = 144
No
Yes

Answer 1

Yes. For a 5–12–13 right triangle the squares on the legs have areas 5^2 = 25 and 12^2 = 144, and 25 + 144 = 169 = 13^2. So the sum of the areas of the smaller squares equals the area of the larger square (Pythagorean theorem).