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How can I deduce the pythagorean theorem from the follow image?

enter image description here

I have been draw some parallels and I got the figure but I don't know how to deduct, some hint?

Blue
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Kevin Duran
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1 Answers1

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Note that each colored piece in the big square with side length $c$ appears once in the small squares with side lengths $a$ and $b$. From this, the sum of the areas of the small squares is equal to the area of the big square, or $\boxed{a^{2} + b^{2} = c^{2}}$

Joshua Wang
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    There's a little bit of work to do to show that the same-colored polygons actually have equal areas, but it's not difficult. – Blue Oct 15 '20 at 01:25