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Page 1: Proof of Pythagoras’ Theoremthemathsquad.co.uk/wp-content/uploads/2019/12/Pythagoras1.pdf · Proof of Pythagoras’ Theorem Cut the triangle with three squares drawn on each side

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Proof of Pythagoras’ TheoremCut the triangle with three squares drawn on each side. Notice that lines m an n crossing the squareon side a are parallel to the lines of the sides of the square drawn on hypotenuse.

Cut the squares on smaller sides. Then try to arrange them onto the square drawn on hypotenuse.You can repeat this with your own drawings, following just one simple rule: m and n must be parallelto the sides of the square on hypotenuse, but can be positioned anywhere on square a.

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