For this case we have that by definition, the distance between two points is given by:
[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}[/tex]
We have the following points:
[tex](x_ {1}, y_ {1}): (1,0)\\(x_ {2}, y_ {2}): (0,2)[/tex]
Substituting we have:
[tex]d = \sqrt {(0-1) ^ 2 + (2-0) ^ 2}\\d = \sqrt {(- 1) ^ 2 + (2) ^ 2}\\d = \sqrt {1 + 4}\\d = \sqrt {5}[/tex]
Thus, the distance between the points is[tex]\sqrt {5}[/tex]
Answer:
[tex]d = \sqrt {5}[/tex]
