Answer:
The correct option is 3.
Step-by-step explanation:
The distance between two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex]is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
From the given figure it is clear that the coordinates of C are (-2,0) and the coordinates of D are (2,4).
Using distance formula we get
[tex]CD=\sqrt{(2-(-2))^2+(4-0)^2}[/tex]
[tex]CD=\sqrt{(4)^2+(4)^2}[/tex]
[tex]CD=\sqrt{16+16}[/tex]
[tex]CD=\sqrt{32}[/tex]
[tex]CD=5.65685424949[/tex]
[tex]CD\approx 5.66[/tex]
The distance between C and D is 5.66 units. Therefore the correct option is c.
