Exploring Pythagorean Theorem Proofs

The video introduces the Pythagorean Theorem, a fundamental concept in geometry that describes the relationship between the sides of a right triangle. It begins with a review of key vocabulary, including terms like 'sum', 'difference', 'square', and 'square root'. The video then explains the parts of a right triangle, such as the legs and hypotenuse, and provides a detailed explanation of the Pythagorean Theorem itself, including a proof. Finally, it demonstrates how to apply the theorem to solve various mathematical problems, emphasizing the calculation of areas and side lengths.

What does the term 'sum' refer to?

• The result of dividing two numbers

• The result of multiplying two numbers

• The result of adding two numbers

• The result of subtracting two numbers

What is the square of a number?

• The result of dividing the number by itself

• The result of adding the number to itself

• The result of subtracting the number from itself

• The result of multiplying the number by itself

What are the shorter sides of a right triangle called?

• Hypotenuse

• Legs

• Base

• Altitude

What does the Pythagorean theorem formula represent?

• a^2 * b^2 = c^2

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• a^2 / b^2 = c^2

In a right triangle with sides of 3, 4, and 5, does the Pythagorean theorem hold true?

• No

• Yes

• Only in certain cases

• Insufficient information

How do you find the area of square C using the Pythagorean theorem?

• Adding a^2 to b^2

• Multiplying a^2 by b^2

• Subtracting a^2 from b^2

• Dividing a^2 by b^2

If a squared is 8 and c squared is 37, what is b squared?

• 15

• 45

• 29

• 37

What is the area of square C if a squared is 11 and b squared is 22?

• 22

• 33

• 44

• 11

What is the area of square B if a squared is 9 and c squared is 70?

• 61 inches squared

• 80 inches squared

• 70 inches squared

• 9 inches squared

How do you find the side length of square C if its area is 41 cm squared?

• By taking the square root of 41

• By dividing by 41

• By adding 41

• By squaring 41