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Pythagorean theorem

The Pythagorean theorem applies to every right-angled triangle

 


Explanation

The picture shows 3 identical rectangular triangles, ABC, CBD and ACD.

The proportions of the sides are

and

so that

Because AD + BD = AB, the Pythagorean theorem follows directly from this

a2 + b2 = c2

 


Example 1

You can see that 32 + 42 = 52, as

32 + 42 = 25

 


History

The old Greek mathematician Pythagoras (572 BC - 500 BC) is famous for his number theory.


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