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

enter image source here

2 Answers
Feb 16, 2018

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

Feb 16, 2018

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