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Give a geometrical interpretation of the parallelogram identity.
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I'm not sure about geometrical, but it looks a lot like 2 Pythagoras' theorems stuck together. but as the angles are not always 90 degrees, the cosine rule, the pimped up Pythagoras' theorem, can be used. |dw:1342008447576:dw| \[p^2=x^2+y^2-2xycos ( 180-\alpha)\] \[q^2=x^2+y^2-2xycos ( \alpha)\] \[p^2+q^2=2x^2+2y^2\]
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