Answer:
The length of CD is 8.5 units
Step-by-step explanation:
Given the graph in which 3 line segments are drawn.
we have to find the length of CD.
Coordinates of C = (-2, 2)
Coordinates of D = (4, -4)
By distance formula,
[tex]\text{The distance between the two coordinate points }(x_1,y_1)\text{ and }(x_2, y_2)\text{ is }[/tex]
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]CD=\sqrt{(4-(-2))^2+(-4-2)^2}[/tex]
[tex]CD=\sqrt{36+36}=\sqrt{72}[/tex]
[tex]CD=6\sqrt2 units\sim 8.48units[/tex]
The length of CD is 8.5 units
