Pythagorean Theorem with Areas

The sum of the areas of the two smaller squares is equal to the area of the large square.

The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

The difference of the areas of the two smaller squares is equal to the area of the large square.

The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

c = 8

c = 10

c = √52

c = √20

75 cm²

105 cm²

135 cm²

30 cm²

The diagonal is 26 ft

The diagonal is 31 ft

The diagonal is 21.8 ft

The diagonal is 20.9 ft

1

2

3

4

12

10

16

5

A.

B.

C.

The sum of the areas of Square N and Square L is equal to the area of Square K.

The sum of the areas of Square N and Square L is greater than the area of Square K.

The sum of the areas of Square N and Square K is equal to the area of Square L.

The sum of the areas of Square N and Square L is less than the area of Square K.