MACHINE LEARNING

Detailed explanation-1: -Using the Pythagoras’ theorem, (hypotenuse)2 = (base)2 + (perpendicular)2. By taking the square root on both sides we can find the length of the hypotenuse with the help of the given coordinates of two points. This length is equal to the distance between two points.

Detailed explanation-2: -2-D Distance The reason why Euclidean Distance is also called the Pythagorean Distance is that when we are in the 2-D space, we employ the Pythagoras Theorem to calculate the hypotenuse for calculating the distance between two points.

Detailed explanation-3: -Euclidean distance is calculated as the square root of the sum of the squared differences between the two vectors. If the distance calculation is to be performed thousands or millions of times, it is common to remove the square root operation in an effort to speed up the calculation.