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## Proof Without Words: Pythagorean Theorem

6-8
Standards:
Math Content:
Geometry

Why is c2 = a2 + b2? 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.

### Pythagorean Review

6-8

Review and explore the Pythagorean Theorem.