Question

What is the distance between the points (2, 5) and (5, 7)?

Answer 1

Answer: $\sqrt{13}\text{ units}$

Step-by-step explanation:

The distance formula to calculate distance between two points (a,b) and (c,d) is given by :-

$d=\sqrt{(d-b)^2+(c-a)^2}$

Now, the distance between (2, 5) and (5, 7) is given by :-

$d=\sqrt{(7-5)^2+(5-2)^2}\\\\\Rightarrow\ d=\sqrt{(2)^2+(3)^2}\\\\\Rightarrow\ d=\sqrt{13}\text{ units}$

Hence, the distance between the points (2, 5) and (5, 7)$=\sqrt{10}\text{ units}$

Answer 2

What is the distance between the points (2, 5) and (5, 7)?

(3, 2)