Question

Use this formula to compute the distance between the following points.

Answer 1

Consider that the distance between two points,

`d=\sqrt[]{(y^{}_2-y^{}_1)^2+(x^{}_2-x^{}_1)^2}`

Given that the points are (1,1) and (3,7).

Then, the corresponding distance is calculated as,

`\begin{gathered} d=\sqrt[]{(7-1)^2+(3-1)^2} \\ d=\sqrt[]{6^2+2^2} \\ d=\sqrt[]{36+4} \\ d=2\sqrt[]{10} \\ d\approx6.32 \end{gathered}`

Thus, the distance between the given points is 6.32 units approximately.