Pythagorean Theorem Activity by Tony Ellison

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles

• 32 miles

• 37 miles

• 40 miles

a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?

• yes 

• no

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

• 14

• 10

• 5.3

• 2

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

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.

Find the missing length? *solve for x

• 50 yards

• 60 yards

• 70 yards

• 80 yards

What is the formula for finding the hypotenuse?

• a² + b² = c²

• a + b = c

• a - b = c

• c - b = a

Find h

• 35.60

• 35.00

• 35.71

• 61.03