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>>> You're baffled as to why two different rectangles with different side
>>> lengths but equivalent diagonals have different areas?
>
>> Yes. I was under the impression that the square of the diagonal was
>> equal to the sum of the squares of the sides, which _should_ mean that
>> as one side gets shorter, the other side gets longer by exactly the same
>> amount, holding the area constant.
>
> That would mean that if one of the sides had zero length, then the other
> side would have the same length of the diagonal and the area would still
> be the same. Which is obviously impossible.
>
> You are confusing the sum of the squares of the side lengths with the
> product of the side lengths. Obviously they are different things.
Yes. Obviously I am wrong, since the actual results do not match my
expectations. All I said was that I am surprised. ;-)
Ironically, I'm currently reading
http://www.apa.org/journals/features/psp7761121.pdf
I guess I'm too stupid to realise how stupid I am... :-/
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