Question

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

Answer 1

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

(3, 2)

Answer 2

Answer:
`√(13)\text{ units}`

Explanation:

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

`d=√((d-b)^2+(c-a)^2)`

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

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

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