pythagorean theorem proved

[color=#0000ff]Move the green and blue sliders. Notice what happens to the green and blue squares.[/color]
[color=#9900ff]What is the relationship between the areas of the green, blue and red squares?[/color]
[color=#9900ff]What are the areas of the squares in terms of a,b, and c? Using the relationship found above, how does this idea prove the pythagorean theorem (a[/color][math]2[/math][color=#9900ff]+b[/color][math]2[/math][color=#9900ff]=c[/color][math]2^{ }[/math][color=#9900ff].[/color][br]
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