Vedic Mathematics

The diagonal chord of the rectangle makes both the squares that the horizontal and vertical sides make separately. 

Sulba Sutra (8th century B.C.)  

The square of the hypotenuse of a right angle triangle is equal to the sum of the squares of the other two sides.

Pythagorean Theorem (6th century B.C.)

Definition

In a right angled triangle: the square of the hypotenuse is equal to
the sum of the squares of the other two sides.  a2 + b2=c2

 

Let's check if the areas are the same:

3² + 4² = 5²
Calculating this becomes:

9 + 16 = 25

It works ... like Magic!

  

Example:1

 






a² + b² = c²

5² + 12² = c²

25 + 144 = c²

169 = c²

c² = 169

c = √169

c = 13