Answer:
IK = 24
Explanation:
Since is says that O is the point of intersection of the three medians (also known as centroid) the segment JN which passes through a vertex of the triangle, would have to be a median to segment IK.
Medians divide a segment into two congruent parts, so IN = NK = 12 as we are given IN = 12.
IK is the sum of the measure of IN and NK, so in other words:
IK = IN + NK = 12 + 12 = 24