Answer:
The distance between two points [tex](x1, y1)[/tex] and [tex](x2, y2)[/tex], would be:
[tex]D = \sqrt{(x2 - x1)^2 + ( y2 - y1)^2}[/tex]
So, for (0,a) and (a, 0), would be:
[tex]D = \sqrt{(a-0)^2 + (0-a)^2}[/tex]
-Then, you solve:
[tex]D = \sqrt{(a-0)^2 + (0-a)^2}[/tex]
[tex]D =\sqrt{(a)^2 + ( -a)^2}[/tex]
[tex]D = \sqrt{a^2 + a^2}[/tex]
[tex]D = \sqrt{2a^2}[/tex]
[tex]D = a\sqrt{2}[/tex]
