Respuesta :

Answer:

The answer is

[tex]\sqrt{13} \: \: or \: \: 3.6055 \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

B ( 3 , 1 ) and C( 6 , 3)

The distance between them is

[tex] |BC| = \sqrt{( {3 - 6})^{2} + ({1 - 3})^{2} } \\ = \sqrt{ ({ - 3})^{2} + ( { - 2})^{2} } \\ = \sqrt{9 + 4} [/tex]

We have the final answer as

[tex] \sqrt{13} \: \: or \: \: 3.6055 \: \: units[/tex]

Hope this helps you