Question

What is the length of line segment CD?

Enter your answer in the box. Round to the nearest tenth.
CD =
units

Answer 1

6^2 = 36

6^2 = 36

36 + 36 = 72

square root 72 = 8.48

round to nearest tenth

CD = 8.5

Answer 2

The length of CD is 8.5 units

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,

`\text{The distance between the two coordinate points }(x_1,y_1)\text{ and }(x_2, y_2)\text{ is }`

`D=√((x_2-x_1)^2+(y_2-y_1)^2)`

`CD=√((4-(-2))^2+(-4-2)^2)`

`CD=√(36+36)=√(72)`

`CD=6\sqrt2 units\sim 8.48units`

The length of CD is 8.5 units