Models of the Pythagorean Theorem

If the area of square b is 144 ft² and the length of side a is 5 ft, what is the area of square c?

• 169 ft²

• 13 ft²

• 12.2 ft²

• 10.9 ft²

If the area of square c is 1,369 cm² and the area of square b is 1,225 cm², what is the length of one side of square a?

• 12 cm

• 144 cm

• 50.9 cm

• 8.5 cm

What is the area of square b in the figure shown?

• 24 in²

• 96.6 in²

• 74 in²

• 576 in²

What letter represents the hypotenuse?

• a

• b

• a and b

• c

Which equation can be used to determine the length of the hypotenuse, given the length of side 'a' and side 'b'?

• a²⁺b²=c²

• a+b=c

• a-b=c

• c-a=c

If 231 square feet of paint was used to paint the two squares blue, how much paint would be needed to paint the white square purple?

• 15.2 ft²

• 115.5 ft²

• 231 ft²

• 10.7 ft²

The Pythagorean Theorem works for finding the missing side length on what type of triangles?

• obtuse

• acute

• right

• any triangle

Which set of side lengths form a right triangle?

• 4, 8, 12

• 12, 13, 20

• 20, 21, 29

• 48, 55, 74

Which set of side lengths does not form a right triangle?

• 38, 80, 90

• 16, 63, 65

• 36, 77, 85

• 14, 15, 29

Julia is trying to arrange 3 squares so that they form a right triangle as shown below. One of the squares she is using has an area of 81 square centimeters and another 1 has an area of 225 square centimeters. Which of the following could be the side length of her third square so that she can complete her task?

• 9 cm

• 12 cm

• 15 cm

• 144 cm