Monthly Archives: November 2011

Pythagoras revisited

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[Today’s run: none yet]

I fooled around some more with my large-triangle method.   I found three equations describing the large triangle, but they all simplified down to the same thing and I could not see how to go any farther.

So I decided to try to find another method.

The unique feature of a right triangle is that one of the angles is 90 degrees.  All triangles have angles that add up to 180 degrees.  So, the pointy parts of a right triangle have to add up to be the other 90 degrees.

I saw that the big c-squared square needed to be part of the picture. If I arrange copies of my right triangle around the big square, it makes a larger square. The sides of the larger square are of length (B+A). There are two ways to describe the larger square. I set those against each other and did some algebra.

I don’t know exactly how I went wrong with my prior method. It seems like it should work. Maybe my three descriptions of the big triangle are not independent. Or something.

Filed under other thoughts
Nov 30, 2011
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