## الاثنين، 22 نوفمبر 2010

### Pythagorean theorem

Pythagorean theorem One of the most important theories of geometry

Pythagorean theorem : In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).

Pythagorean theorem can be written as an equation relating the lengths of the sides a, b and c

$a^2 + b^2 = c^2\!\,$
where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.

there are other forms
if  we know :
a & b
$c = \sqrt{a^2 + b^2}. \,$

c & b

$a = \sqrt{c^2 - b^2}. \,$

a & b
$b = \sqrt{c^2 - a^2}. \,$