Answer:
The answer is
[tex]\sqrt{29} \: \: \: or \: \: \:5.38 \: \: \: units[/tex]
Step-by-step explanation:
The length of the segment connecting 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
A(1,3) and B(6,5)
The length is
[tex] |AB| = \sqrt{ ({1 - 6})^{2} + ({3 - 5})^{2} } \\ = \sqrt{ ({ - 5})^{2} + ( { - 2})^{2} } \\ = \sqrt{25 + 4} \\ = \sqrt{29} [/tex]
We have the final answer as
[tex] \sqrt{29} \: \: \: or \: \: \:5.38 \: \: \: units[/tex]
Hope this helps you
