Question

What is the distance between the points located at (5, 1) and (10, 11) ?

Answer 1

`\large{\underline{\underline{\pmb{\frak {\color {red}{Question:}}}}}}`

`\sf \red{What \: is \: the \: distance \: between \: the \: points \: located \: at \: (5, 1) \: and \: (10, 11) ?}`

`\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}`

Let, the points be A(5,1) and B(10,11) on the number line.

Here,

`x_(1)` = 5.
`x_(2)` = 10

`y_(1)` = 1.
`y_(2)` = 11

We,know that to find distance between two points, the formula is:

`\sqrt{( {x}_(2) - {x}_(1))^(2) + ( {y}_(2) - {y}_(1) )^(2) } \\ \\ = \sqrt{(10 - 5) ^(2) + (11 - 1)^(2) } \\ \\ = \sqrt{ ({5)}^(2) + ( {10})^(2) } \\ \\ = √(25 + 100) \\ \\ = √(125) \\ \\ = 11.18`

Therefore, the distance between the two points (A) and (B) is 11.18

`\boxed{ \frak \red{Hope \: it \: helps \: you}}`