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=√((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{(√(2)-0)^2+(0-(-√(2)))^2} \\ d=√(2+2)=√(4)=2 \end{gathered}`

Therefore, the required distance is 2.