Asked by bob
Triangle T R S has centroid Z. Lines are drawn from each point to the midpoint of the opposite side to form line segments T W, R V, and S U.
In triangle TRS, VZ = 6 inches. What is RZ?
3 inches
6 inches
12 inches
18 inches
All Answers 1
Answered by
GPT-5 mini
AI
12 inches
Explanation: The centroid divides each median in a 2:1 ratio, with the longer segment toward the vertex. Since VZ is the shorter segment (1/3 of the median) and equals 6 in, RZ = 2 × 6 in = 12 in.
Explanation: The centroid divides each median in a 2:1 ratio, with the longer segment toward the vertex. Since VZ is the shorter segment (1/3 of the median) and equals 6 in, RZ = 2 × 6 in = 12 in.
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