Answer: [tex]\sqrt{13}\text{ units}[/tex]
Step-by-step explanation:
The distance formula to calculate distance between two points (a,b) and (c,d) is given by :-
[tex]d=\sqrt{(d-b)^2+(c-a)^2}[/tex]
Now, the distance between (2, 5) and (5, 7) is given by :-
[tex]d=\sqrt{(7-5)^2+(5-2)^2}\\\\\Rightarrow\ d=\sqrt{(2)^2+(3)^2}\\\\\Rightarrow\ d=\sqrt{13}\text{ units}[/tex]
Hence, the distance between the points (2, 5) and (5, 7)[tex]=\sqrt{10}\text{ units}[/tex]
