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Centroid divides a median in the ratio 2 : 1

This type of question, asked 2 times: 24 Jul 2023 S2, 16 Sep 2025 S1. All 2 questions below, oldest first.

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  1. Question 1

    24 Jul 2023 S2

    65
    In ΔABC\Delta ABC, D is the mid-point of BC and G is the centroid. If GD = 10 cm, then the length of AD is ________.

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  2. Question 2

    16 Sep 2025 S1

    69
    In a triangle ABC, medians AD and BE intersect at G. If the length of median AD is 12 cm, what is the length of the segment AG?

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