Pythagorean Theorem

a² + b² = c²

a² + c² = b²

a + b = c

The sum of the area of square 1 and the area of square 2 is less than the area of square 3.

The sum of the area of square 1 and the area of square 2 is more than the area of square 3.

The sum of the area of square 1 and the area of square 2 is equal to the area of square 3.

The sum of the perimeter of square 1 and the perimeter of square 2 is equal to the perimeter of square 3.

Yes

No

Maybe

So

square 1=30 square units; square 2=36 square units; square 3 =42 square units

square 1=30 square units; square 2=72 square units; square 3 =78 square units

square 1=50 square units; square 2=100 square units; square 3 =200 square units

square 1=50 square units; square 2=150 square units; square 3 =200 square units

15

17

289

14,400

7X7

12X5

13X13

17X17

$$\sqrt[]{13}$$

$$\sqrt[]{39}$$

$$\sqrt[]{40}$$

$$\sqrt[]{89}$$

5

20

25

35

15 feet

17 feet

19 feet

21 feet