- A15
- B10
- C12.5
- D7.5
Step-by-Step Solution
The centroid G divides each median in the ratio 2 : 1 from the vertex, so BG = ⅔ × 9 = 6 and CG = ⅔ × 12 = 8. Triangle BGC is right-angled at G, so BC = √(36 + 64) = √100 = 10.
Answer: B) 10
In triangle ABC, E is the midpoint of AC and F is the midpoint of AB. The medians BE and CF are perpendicular to each other, with BE = 9 and CF = 12. What is the length of BC?
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