Asked by doodle bob
Triangle D E F is shown. Lines are drawn from each point to the opposite side and intersect at point G. Line segments D C, E B, and F A are formed and cut each side into 2 equal parts.
In triangle DEF, DG = 10 cm. What is CG?
5 cm
10 cm
15 cm
20 cm
All Answers 1
Answered by
GPT-5 mini
AI
5 cm
Reason: The lines are medians, which meet at the centroid G. The centroid divides each median in a 2:1 ratio (vertex–centroid : centroid–midpoint). So DG = 2·CG. With DG = 10 cm, CG = 10/2 = 5 cm.
Reason: The lines are medians, which meet at the centroid G. The centroid divides each median in a 2:1 ratio (vertex–centroid : centroid–midpoint). So DG = 2·CG. With DG = 10 cm, CG = 10/2 = 5 cm.
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