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In ΔABC, median AD, BE, and CF intersect at G. If CF = 24, what is the value of FG?

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In ΔABC, median AD, BE, and CF intersect at G. If CF = 24, what is the value of FG? Answer: 8

The centroid of a triangle divides each median in the ratio 2:1 from vertex to midpoint. So, if CF = 24, the segment from centroid to midpoint FG = 1/3 of 24 = 8.

Question context

This question is part of 📏 Arithmetic Aptitude within the broader 🧠 Aptitude Mastery subject and appears in the ETEA Educational Testing and Evaluation Agency preparation collection. Reviewing the answer together with nearby questions helps reinforce the underlying concept and identify how it may appear in competitive exams.