Length of Squares Pythagorean

The Pythagorean Theorem is

a² + b² = c²

• false

• true

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.

What is the formula for finding the hypotenuse?

• a² + b² = c²

• a + b = c

• a - b = c

• c - b = a

Which of the following formulas best solves for a missing leg?

• a² + b² = c²

• c - b = a

• c² - b² = a²

• b² + c² = a²

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

• 75 cm²

• 105 cm²

• 135 cm²

• 30 cm²

Shaylyn has a piece of paper measuring 9.5 inches by 9.5 inches. If she folds the paper diagonally in half, how long is the folded side? Round to the nearest tenth if necessary.

• 13.4 inches

• 10 inches

• 18 inches

• 11 inches

Shaylyn has a piece of paper measuring 9.5 inches by 9.5 inches. If she folds the paper diagonally in half, how long is the folded side? Round to the nearest tenth if necessary. (hint: we are looking for "c")

• 13.4 inches

• 10.3 inches

• 18.4 inches

• 11.3 inches

The Blackburn family has a square field where they keep their cattle. The area of the field is 40,000 ft², and Mr. Blackburn wants to put a fence diagonally through the field. What should the length of the fence be?

• 282.8 feet

• 200 feet

• 14.4 feet

A square television has a diagonal measurement of 13 inches. About how long is each side of the television?

• 3.3 inches

• 6.5 inches

• 9.2 inches

• 18.4 inches

What is the final step in solving this work for c?

a² + b² = c²

3² + 4² = c²

9 + 16 = c²

25 = c²

• Divide both sides by 2

• Take the square root on both sides