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|Gallery: Pythagoras' theorem|
Pythagoras' Theorem tells us that the area of the square over the hypotenuse c of a right angled triangle is the same as the sum of the aread of the squares over a and b.
Here you can see why: Take four copies of the triangle and arrange them as shown in the middle square. The remaining area is a²+b². Rearrange them as shown in the right square: The remaining area is c². That's all!
You can pick the top point of the triangle and move it, or you can move points A and B to verify that the theorem is still true for different right angled triangles.
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