Question

in triangle trs, vz = 6 inches. what is rz?
3 inches
6 inches
12 inches
18 inches

Explanation:

Step1: Identify Centroid Property

In a triangle, the centroid (point \( Z \)) divides each median into a ratio of \( 2:1 \), with the longer segment being closer to the vertex. Here, \( VZ \) is the segment from the midpoint of a side to the centroid, and \( RZ \) is from the centroid to the vertex. So \( RZ = 2 \times VZ \).

Step2: Calculate \( RZ \)

Given \( VZ = 6 \) inches, substitute into the formula:
\( RZ = 2 \times 6 = 12 \) inches.

Answer:

12 inches