Question

Find the distance CD rounded to the nearest tenth. C=(5,6) and D=(2,2) ?

Answer 1

`ved(CD) = color(green)(5`

Explanation:

Distance between two points given by the formula

`d = sqrt((x2-x1)^2 + (y2-y1)^2)`

`vec(CD) = sqrt((5-2)^2+(6-2)^2)`

`vec(CD)= sqrt(3^2 + 4^2) = sqrt(25)`

`=> color(green)(5`

Answer 2

`CD= 5`

Explanation:

Use the Distance Formula:

`d= sqrt( (x_2-x_1)^2 + (y_2-y_1)^2)`

1. Plug into formula
   `d= sqrt( (5-2)^2 + (6-2)^2)`

2. Solve
   `d= sqrt((3)^2 + (4)^2)`
   `=> d= sqrt(9 + 16)`
   `=> d= sqrt(25)`
   `=> d = 5`