For this case we must find the distance between two points:
[tex](x_ {1}, y_ {1}): (2,6)\\(x_ {2}, y_ {2}) :( 8,3)[/tex]
By definition, the distance between two points is given by:
[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}\\d = \sqrt {(8-2) ^ 2 + (3-6) ^ 2}\\d = \sqrt {(6) ^ 2 + (- 3) ^ 2}\\d = \sqrt {36 + 9}\\d = \sqrt {45}\\d = 3 \sqrt {5}\\[/tex]
[tex]d = 6.71[/tex]
Answer:
The distance is 6.71 units