Question

Find the distance between the points T(13, 1.6) and V(5.4, 3.7).The exact distance between the two points is

Answer 1

We have the distance formula between two points in the castesian plane is:

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

replacing:

$\begin{gathered} d(T,V)=\sqrt{(13-5.4)^2+(1.6-3.7)^2} \\ d(T,V)=\sqrt{(7.6)^2+(-2.1)^2} \\ d(T,V)=\sqrt{57.76+4.41} \\ d(T,V)=\sqrt{62.17}=7.88 \end{gathered}$

Which means that the distance between the two points is 7.88 units