Proof of the Pythagorean theorem using Dimensional analysis

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SUMMARY

The forum discussion centers on the proof of the Pythagorean theorem using dimensional analysis as presented on Wikipedia. It clarifies that the area can be expressed as "largest edge² • f(angle1, angle2)", emphasizing that constants, such as "40000", can be incorporated into the function f without altering the fundamental relationship. The discussion concludes that the undetermined nature of the function f allows for flexibility in expressing the area, reinforcing the theorem's validity through dimensional analysis.

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Yes, it is. However, just taking that "40000" into the function, f, gets you right back to the original form. They are only saying that the area is equal to the largest edge, squared, times some function of the two angles. Since that function is left undetermined, constants don't matter.
 

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