in triangle trs, vz = 6 inches. what is rz?\n3 inches\n6 inches\n12 inches\n18 inches

Answer:

C. 12 inches

Explanation:

Step1: Recall centroid property

The centroid of a triangle divides each median in a 2:1 ratio. Here, point Z is the centroid of triangle TRS and RV is a median.

Step2: Identify the segments

RZ is the segment from the vertex to the centroid and VZ is the segment from the centroid to the mid - point of the opposite side.

Step3: Apply the ratio

If the ratio of RZ to VZ is 2:1 and VZ = 6 inches, then RZ=2×VZ. RZ = 2×6 = 12 inches.