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in the Wikipedia page for http://en.wikipedia.org/wiki/Dimensional_analysis#Proof_of_the_Pythagorean_theorem" how do we know that area = "largest edge^{2}• f (angle1, angle2)"? Isn't it just as reasonable to say something like area= (largest edge/40000)^{2}• f (angle1, angle2) ?

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# Proof of the Pythagorean theorem using Dimensional analysis

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