HOW THE SPACE WORKS?

We know, just 2 numbers (x,y) are enough to mark a point in a graph sheet or in any surface. Can we find the distance of the point from the origin just using these two co-ordinates? Here the Pythagoras theorem comes to our help. Since x and y co-ordinates indicate horizontal and vertical distance of the point from the origin, square both of them; add them and take square root. We get the diagonal distance from the origin.
r^2 = x^2 +y^2
Pythagoras theorem is the first topic in any math book. It still reigns in math and physics world. It's importance will never fade with time.
Suppose we want to find inner diagonal in a rectangular box, it can be found using the formula given below. We should remember the box is a 3 dimensional one.

Diagonal^2 = Length ^2 + breadth^2+height^2
Hence Pythagoras theorem can be extended to 3 dimension or any dimension by just adding square of one more quantity.

5^2 =3^2+4^2
25= 9+ 16
The 3,4,5 satisfies Pythagoras theorem. Hence they are called Pythagoras triplets. Finding Pythagoras triplets (whole numbers) is difficult. But you can make them using the following simple algorithm.
Pick any two whole numbers and call them p and q. Make A,B,C using the formulas given below.

A =p^2+q^2
B = 2pq
C = p^2-q^2
A,B and C definitely will be Pythagoras triplets.

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