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. So, \( RZ = 2 \times VZ \).

Step2: Substitute \( VZ \) Value

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

Step3: Calculate \( RZ \)

\( 2 \times 6 = 12 \) inches.

Answer:

12 inches