Area of Squares Pythagorean

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

If the area of the blue square is 25 in² and the area of the green square is 169 in², what is the area of the yellow square?

• 12 in²

• 144 in²

• 194 in²

• 13.9 in²

Find the area.

Find the area of the shape below.

solve for c

• 7

• 9

• 4

• 13

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 length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm