Pythagoras Theorem (8)


Proving Theorem of Pythagoras by Dissection

The figure shows a dissection method of proving the Theorem of Pythagoras. The method seems to be very complex, but it can be understood as one special case of simple dissection methods. Using the applet, we can obtain infinitely many methods of dissection. Perigal's proof is classified in the same category.

Applet

How to use the Applet

  • Drag the red point in the left figure to decide the bases of the right triangle ( lengths of a and b).
  • Drag the red point in the left figure to observe various patterns of dissection.