Find the distance between the points (\(\frac{1}{2}\), \(\frac{1}{2}\)) and (-\(\frac{1}{2}\), -\(\frac{1}{2}\)).

Explanation

Let D denote the distance between (\(\frac{1}{2}\), -\(\frac{1}{2}\)) then using

D = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

= \(\sqrt{(-{\frac{1}{2} - \frac{1}{2}})^2 + (-{\frac{1}{2} - \frac{1}{2}})^2}\)

= \(\sqrt{(-1)^2 + (-1)^2}\)

= \(\sqrt{1 + 1}\)

= √2

There is an explanation video available .