Respuesta :

As we can observe the given parallelogram,

The coordinates of D are [tex] (0,-2) [/tex] and K are [tex] (3,3) [/tex]

To find the length of line segment DK, we will use the distance formula to calculate the length/distance between points D and K.

For the given points [tex] (x_{1},y_{1}) [/tex] and [tex] (x_{2},y_{2}) [/tex]

Distance = [tex] \sqrt{{(x_{2}-x_{1})^{2}+{(y_{2}-y_{1})^{2}}} [/tex]

Length of DK = [tex] \sqrt{{(3-0)^{2}+{(3+2)^{2}}} [/tex]

=[tex] \sqrt{34} [/tex] units