Pythagorean Theorem in Squares

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.

What is the formula for finding the hypotenuse?

• a² + b² = c²

• a + b = c

• a - b = c

• c - b = a

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

Find the value of x.

Mathematical Equivalence

ON

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

Value of x

Solve for the length indicated.

• 9

• 10

• 11

• 12

Find the value of x. Round your answer to the nearest tenth.

Mathematical Equivalence

ON

Find the missing length.

• 12

• 10

• 16

• 5