In a right angled triangle, the area of square drawn on the hypotenuse is equal to the sum of areas of squares drawn on the other two sides of that triangle.
Let AC be hypotenuse in triangle ABC
Then the area of square drawn it = AC Ã AC
Then area of square drawn on side AB = AB Ã AB
and the area of square drawn on side BC = BC Ã BC
Then according to the Pythagoras theorem,
AC Ã AC = AB Ã AB + BC Ã BC
i.e. AC^2 = AB^2 + BC^2
Pythagorean theorem
In mathematics, the Pythagorean theorem (American English) or Pythagoras' theorem (British English) is a relation in Euclidean geometry among the three sides of a right triangle. The theorem is named after the Greek mathematician Pythagoras, who by tradition is credited with its discovery and proof, although knowledge of the theorem almost certainly predates him.
The theorem is as follows:
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).