TED-ED: How many ways are there to prove the Pythagorean theorem? - Betty Fei

The video explores the Pythagorean theorem, a fundamental rule in geometry, and its historical significance. It discusses various proofs, including those by Pythagoras, Euclid, and Einstein, and highlights practical applications in construction and GPS. The video also presents visual proofs and encourages viewers to explore their own proofs.

Which ancient civilization is known to have used the Pythagorean theorem over 1,000 years before Pythagoras?

• Babylonians

• Mayans

• Romans

• Chinese

What is the main purpose of a mathematical proof?

• To demonstrate that a theorem is always true

• To create new mathematical rules

• To find exceptions to a theorem

• To simplify complex equations

In the proof by rearrangement, what is the significance of the area of the tilted square?

• It is equal to c squared

• It represents the sum of the triangle areas

• It is a visual representation of a squared

• It is equal to the area of the original triangle

Which mathematician's proof involves dividing a right triangle into two others?

• Pythagoras

• Euclid

• Archimedes

• Newton

What geometric concept is used in the visual proof involving tessellation?

• Repetition

• Reflection

• Symmetry

• Rotation

How does the turntable demonstration prove the Pythagorean theorem?

• By using the rotation of the turntable to create a right triangle

• By illustrating the water from the largest square fills the two smaller ones

• By showing the largest square can be divided into smaller squares

• By demonstrating the balance of weights on the turntable

Approximately how many different proofs exist for the Pythagorean theorem?

• 500

• 50

• 150

• 350