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''For any right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.'' | ''For any right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.'' | ||
[[File:Pythagorean.svg|thumb]] | [[File:Pythagorean.svg|thumb|The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c).]] | ||
== Preliminaries == | == Preliminaries == |
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