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Title: Pythagorean hypothesis
Description: Introductory notes on the Pythagorean hypothesis, the method used to calculate the length of a right sided triangle, with examples and a brief history.

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Pythagorean hypothesis:

In maths, the Pythagorean hypothesis or Pythagoras’ hypothesis provides a methods for calculating the le
ngth of a right sided triangle
...
It expresses
that the region of the square whose side is the hypotenuse (the side inverse the right point) is equivalent
to the amount of the region of the squares on the other different sides
...
This area can be represented b
y units of tiles
...
That means the lengt
h of the third side of the triangle is 11 x 10 = 110
...


Algebraic proofs:

The Pythagorean theory can be proved algebraically using four copies of the same triangle arranged sym
metrically around a square with side c
...


The four triangles and the square side c need to have the same area as the larger square
...
The triangles are similar with area one and a half ab, while the s
mall square has side b − a and area (b − a)2
...
He lived during the fifth and fourth century BC
...
However, this theory was probably used by the Egyptians, when it came to the constructions of the
pyramids
...



Title: Pythagorean hypothesis
Description: Introductory notes on the Pythagorean hypothesis, the method used to calculate the length of a right sided triangle, with examples and a brief history.