Question

​​find the distance between the points A(8a,7a) and B(8a + root 3a, 6a)

Answer 1

$$\begin{gathered} \mathrm{Hi}, \\ \mathrm{distance}\mathrm{formula}\mathrm{is}\mathrm{for}\mathrm{two}\mathrm{points}\left({\mathrm{x}}_1,{\mathrm{y}}_1\right)\mathrm{and}\left({\mathrm{x}}_2,{\mathrm{y}}_2\right) \\ \mathrm{d}=\sqrt{{\left({\mathrm{x}}_2-{\mathrm{x}}_1\right)}^2+{\left({\mathrm{y}}_2-{\mathrm{y}}_1\right)}^2} \\ \mathrm{Here} \\ \mathrm{d}=\sqrt{{\left(8\mathrm{a}+\sqrt{3}\mathrm{a}-8\mathrm{a}\right)}^2+{\left(6\mathrm{a}-7\mathrm{a}\right)}^2} \\ =\sqrt{3{\mathrm{a}}^2+{\mathrm{a}}^2} \\ =\sqrt{4{\mathrm{a}}^2} \\ =2\mathrm{a}\mathrm{unit} \end{gathered}$$