Applying Pythagorean Theorem

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

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

a = 2.1, b = 7.2, c = 7.5

Is this a right triangle?

*Hint - You could plug the values into the Pythagorean Theorem.

• yes

• no

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

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

• a² + b² = c²

• c - b = a

• c² - b² = a²

• b² + c² = a²

Select all that apply. Which of the following equations represent Pythagorean Theorem? *Multiple Answers*

• Leg² + Leg² = Hyp²

• a² + b² = c²

• c² - b² = a²

• c - a = b

• a + b = c