Welcome to Vibrationdata.com Pythagorean Theorem Page   Derivation of Pythagorean's Theorem There are many ways to prove Pythagorean's Theorem.  Here is one example. A square is formed from four right triangles. Each triangle has the same dimensions as the other triangles. Calculate the area of the outer square by two different methods.

By substitution,

Some Examples of Right Triangles with Integer Length Sides   A  B  C  3  4  5  5  12  13  8  15  17 Some Examples with One Length as a Square Root   A  B  C  1  2  2   3 5 6

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