## Proof Without Words: Pythagorean Theorem

Grade:

6-8

Standards:

Math Content:

Geometry

Why is** c^{2} = a^{2} + b^{2}?** Watch a dynamic, geometric "proof without words" of the Pythagorean Theorem. Can you explain the proof?

### How to Use

Use the red points on the sliders to adjust the lengths of the sides of the triangle.

### Buttons

- The buttons are meant to be used sequentially, and will appear in the order in which they are meant to be pressed.
- Be sure to allow all movements to cease before pressing another button, as this will affect the performance of the sketchpad.

- The Reset button will allow you to start over.

- Why does this proof work? Construct a proof.
- Do some research online to find other ways to prove the Pythagorean Theorem.

### 6.5 Understanding the Pythagorean Relationship

6-8

Provide a proof without words for the
Pythagorean Theorem.