Pythagorean Theorem with Areas

Which of the following sentences would belong in the proof that describes this image?

• 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.

Find the value of "c"

• c = 8

• c = 10

• c = √52

• c = √20

Using the Pythagorean Theorem, find the area of the missing square (seen in picture)

• 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

Solve for the length indicated.

• 1

• 2

• 3

• 4

Find the missing length.

• 12

• 10

• 16

• 5

Find the value of x. Round your answer to the nearest tenth.

Mathematical Equivalence

ON

• A.

• B.

• C.

The diagram shows three squares that are joined at vertices to form a right triangle. Which statement is true?

• 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.

Which set of squares can be used to illustrate the Pythagorean theorem?

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