A coordinate grid is placed over a map. Cheyenne is located at point (8,-5), and Cordell is located at point (10,-3). If Elk City is at the midpoint between Cheyenne and Cordell, which is closest to the distance in coordinate units from Cheyenne to Elk City?
+33661 If Elk City is at the midpoint of the other two, its coordinates are ((8+10)/2, (-5-3)/2) = (9, -4).
Its distance, r, from Cheyenne in coordinate units is given by Pythagoras theorem:
r2 = (9-8)2 + (-4 -(-5))2 = 12 + 12 = 2 so that r = √2
i.e. the distance from Elk City to Cheyenne is √2 coordinate units.
(At least, I think that's what you are after!)
+33661 If Elk City is at the midpoint of the other two, its coordinates are ((8+10)/2, (-5-3)/2) = (9, -4).
Its distance, r, from Cheyenne in coordinate units is given by Pythagoras theorem:
r2 = (9-8)2 + (-4 -(-5))2 = 12 + 12 = 2 so that r = √2
i.e. the distance from Elk City to Cheyenne is √2 coordinate units.
(At least, I think that's what you are after!)
