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?
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?