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

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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#

#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#