Answer:
[tex]WE=5\sqrt{2}[/tex]
Step-by-step explanation:
Distance between two points:
The distance between [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by[tex]=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2[/tex]
Hence distance between [tex]W(10,2)[/tex] and [tex]E(5,-3)[/tex]
[tex]WE=\sqrt{(5-10)^2+(-3-2)^2}=\sqrt{(-5)^2+(-5)^2}=\sqrt{25+25}\\\\WE=\sqrt{50}=5\sqrt{2}[/tex]