Proving the Pythagorean Theorem using the Area of a Square and its Pieces

This lesson demonstrates how to prove the Pythagorean theorem using a geometric approach. By constructing a square with four right triangles and a smaller square inside, the video shows how to calculate the areas and simplify the expression to arrive at the theorem: a² + b² = c². The lesson concludes with a recap of the proof process.

What is the Pythagorean theorem and how is it expressed mathematically?

What is the significance of the four right triangles in the proof of the Pythagorean theorem?

Describe the process of proving the Pythagorean theorem using the area of a square.

How do you calculate the area of the square formed by the sides a and b?

Explain how the areas of the triangles relate to the area of the square in the proof.