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Three people are standing on a Cartesian coordinate plane. Robert is standing at point (4,3), Lucy at point (6,1), and Liz at point (1,7). How many units away is the farther person from Robert?

 Apr 28, 2020
 #1
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Find the distance from Robert (4,3) to EACH of the other points using the distance formula

 

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

 

let x1, y1   be Robert   (4,3)       and      x2, y2     be    Lucy  (6,1)

   then distance = sqrt (( 4-6)^2   +  (3-1)^2 ) =  

                             sqrt ( 4 + 4) = sqrt 8

 

    Now let x2 y2    be Liz ( 1,7)  

distance = sqrt ( ( 4-1)^2 + (3-7)^2 )

              = sqrt  (9 + 16)   = sqrt 25  

 

Now which is farther from Robert?  cheeky

 Apr 28, 2020

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