Pythagoras' Theorem

In a right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.

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If the length of the hypotenuse of each right-angled triangle is c and the lengths of the other two sides are a and b then the diagram on the left shows a total area of 2ab+c2 and the diagram on the right shows an area of 2ab+a2+b2 showing that a2+b2=c2.

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