Friday 17 June 2011

Proofs of the Pythagorean Theorem



To give the Pythagorean Theorem in geometric terms we start with a right triangle abc. From the sides of this triangle we will draw squares from each of the sides, using the lengths of the sides as the length of a side for each respective square. The Pythagorean Theorem then claims that the sum of the areas of the two small squares equals (the area of) the large one.

In algebraic terms, a2+b2=c2 where c is the hypotenuse while a and b are the sides of the triangle.

The Pythagorean Theorem is probably the most well-known mathematical proofs, which many people remember well after their last course in mathematics.



Water-proof of Pythagoras' Theorem