

Distance between two points on the Cartesian plane: 



 The rightangled triangle representation method is used whereby the distance can be determined from the scale on the \(x\)axis and the \(y\)axis
 Pythagoras theorem is used to calculate the distance \(AB\), that is,




\(\begin{aligned} &\space AB^2 = AC^2 +CB^2 \\\\& AB= \sqrt{AC^2 + CB^2} \end{aligned}\) 



The formula if the distance between two points on the plane: 



The distance can be determined if,




(i)


Two points have the same \(y\)coordinate
Distance \(= (x_2  x_1) \text{unit}\)




(ii)


Two points have the same \(x\)coordinate
Distance \(= (y_2  y_1) \text{unit}\)




Distance between two points on a plane: 


Definition 





Measurement of distance or length between two points.




Formula 



\(\text{Distance} = \sqrt{(x_2  x_1)^2 + (y_2  y_1)^2}\) 



