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To find the midpoint between points J and K, we use the midpoint formula:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Plugging in the coordinates for J and K:
Midpoint = (((1 + 5)/2, (5 + 0)/2)
Midpoint = ((6/2, 5/2)
Midpoint = (3, 5/2)
Therefore, the midpoint where a third sprinkler needs to be placed is at the coordinates (3, 5/2).