Pythagorean Theorem and Finding Missing Side

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

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

• a² + b² = c²

• c - b = a

• c² - b² = a²

• b² + c² = a²

Examine the problem. Which 2 answer choices could be ELIMINATED because they are not reasonable or logical? **Select 2

• A

• B

• C

• D

Find the length of the missing side. (Calculators are allowed)

• 17 cm

• 22 cm

• 15 cm

• 13 cm

Find the missing side. (Calculators are allowed)

• 9

• 41

• 6.4

• 3

what is the formula for finding the hypotnuse?

• a² + b²=c²

• a+b=c

• a²-b²=c²

• c²-a²=b

Find the length of the missing side. (Calculators are allowed)

• 25 cm

• 42 cm

• 52 cm

• 48 cm

Find the missing side. (Calculators are allowed)

• 48

• 108

• 83.6

• 72