Question

Find the distance between (1, 8) and (-3, 3).

Answer 1

Given:

The two points are,

`\begin{gathered} (1,8) \\ (-3,3) \end{gathered}`

Required:

To find the distance between the given two points.

Step-by-step explanation:

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 (1,8) and (-3,3) is,

`\begin{gathered} √((-3-1)^2+(3-8)^2) \\ =√((-4)^2+(-5)^2) \\ =√(4^2+5^2) \\ =√(16+25) \\ =√(41) \end{gathered}`

Final Answer:

The distance between given two points is,

`√(41)units`