Question

Find the distance between (2, 5) and (-5, 8).

Answer 1

Given:

The two points are,

`\begin{gathered} (2,5) \\ (-5,8) \end{gathered}`

Required:

To find the distance between the given points.

Step-by-step explanation:

The distance between the two points (x1,y1) and (x2,y2) can be calculated by using the formula,

`√((x2-x1)^2+(y2-y1)^2)`

Now the distance between the points (2,5) and (-5,8) is,

`\begin{gathered} √((-5-2)^2+(8-5)^2) \\ =√((-7)^2+3^2) \\ =√(49+9) \\ =√(58) \end{gathered}`

Final Answer:

The distance between two given points is

`√(58)units`