Answer:
NK = 26
Explanation:
You have a triangle with the centroid identified and all medians drawn. You are given IK = 52 and want NK, where point N is the intersection of median JN with side IK.
Centroid
The centroid of a triangle is the point where the medians intersect. It divides each median in the ratio 2:1.
Median
A median of a triangle joins a vertex with the midpoint of the opposite side. Here, that means point N is the midpoint of side IK.
IK is given as length 52, so each half of that segment is 52/2 = 26.
IN = NK = 26