Answer:
ZM = 8
Step-by-step explanation:
A triangle is a polygon shape with three sides and three angles.
The centroid of a triangle is the point of congruency of the median of the triangle sides. The centroid of a triangle (also known as the center of gravity) is located inside the triangle.
The centroid theorem for a triangle states that the centroid is located two-third of the distance from each vertex of the triangle to the midpoint of the opposite side.
ZM = (2/3)WM (centroid theorem)
Therefore: WZ + ZM = WM
WZ = WM - ZM
WZ = WM - (2/3)WM
WZ = (1/3)WM
WM = 3WZ = 3 * 4 = 12
ZM = (2/3) * WM = 2/3 * 12 = 8
