April .She sets up a coordinated system on her chess board so she’s can record the position of the pieces during a game .In recent game,noted that her king was at(4,2)at the same time that her opponent’s king was at(7,8)how far apart we’re the two kings ?

1 Answer
Shiva Prakash M V
Mar 5, 2018

#d=6.708#

Explanation:

#(4,2) and (7,8)#
Distance between the two points #(x_1,y_1) and (x_2and y_2) is #
given by
#d=sqrt((x_2-x_1)^2+(y_2-y_1)^2#
Comparing the points
#x_1=4#
#y_1=2#
#x_2=7#
#y_2=8#
Substituting
#d=sqrt((7-4)^2+(8-2)^2)=sqrt(3^2+6^2)=sqrt(9+36)=sqrt45#
#d=6.708#

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