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English: A similarity proof for Pythagoras' theorem based upon areas proportional to sides on the center triangle. Area of triangle C = sum of areas of A and B. All three right triangles are similar, so all three areas are proportional to the side bordering the centre triangle. Hence, α(a2 + b2) = α c2, or dividing by α, we have Pythagoras' theorem.
Date 28 May 2010
Source Own work
Author Brews ohare
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