Answer: The distance between these points is 5 units.
Step-by-step explanation:
We know that by Distance formula , the distance between two points (a,b) and (c,d) is given by :-
[tex]D=\sqrt{(d-b)^2+(c-a)^2}[/tex]
The given points = (5,3) and (8,7)
The distance between theses points will be :
[tex]D=\sqrt{(7-3)^2+(8-5)^2}\\\\\Rightarrow\ D=\sqrt{(4)^2+(3)^2}\\\\\Rightarrow\ D=\sqrt{16+9}\\\\\Rightarrow\ D=\sqrt{25}=\pm5[/tex]
Since , Distance is always positive , it means the distance between the given points is 5 units.
