Question

find the distance of the line segment joining the two points: 21

Answer 1

Given two points (x1, y1) and (x2,y2) the distance d between the points is given by:

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

In this case,

x1 = √2, y1 = 0, x2 = 0, and y2 = -√2

Therefore, d is given by:

$\begin{gathered} d=\sqrt{(\sqrt{2}-0)^2+(0-(-\sqrt{2}))^2} \\ d=\sqrt{2+2}=\sqrt{4}=2 \end{gathered}$

Therefore, the required distance is 2.