Find the distance between the points (12 1 2 , -12 1 2 ).

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

Answer Details

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