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Centroid joined to two vertices cuts off one-third of the triangle's area

This type of question, asked 2 times: 15 Sep 2025 S1, 18 Sep 2025 S3. All 2 questions below, oldest first.

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  1. Question 1

    15 Sep 2025 S1

    69
    In triangle ABC, medians AD, BE, and CF intersect at the centroid G. What is the ratio of the area of triangle GAB to the area of triangle ABC?

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  2. Question 2

    18 Sep 2025 S3

    68
    In triangle ABC, medians AD, BE, and CF intersect at the Centroid G. If the area of triangle ABC is 60 cm260 \text{ cm}^2, what is the area of triangle GBC?

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