Question

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

Explanation:

Step1: Recall the centroid property

The centroid of a triangle divides each median in a ratio of \(2:1\). Here, \(Z\) is the centroid of \(\triangle TRS\), and \(RV\) is a median. So \(RZ = 2VZ\).

Step2: Substitute the value of \(VZ\)

Given \(VZ = 6\) inches. Then \(RZ=2\times6\) inches.

Answer:

\(12\) inches (the third option)