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Right triangle with three given sides: distance from the centroid to vertex B

The same question, asked 2 times: 29 Jan 2022 Tier II*, 3 Feb 2022 Tier II. Every wording below, oldest first.

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  1. Question 1

    29 Jan 2022 Tier II

    20
    G is the centroid of a triangle ABC, whose sides AB = 35 cm, BC = 12 cm, and AC = 37 cm. The length of BG is (correct to one decimal place):

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  2. Question 2

    3 Feb 2022 Tier II

    94
    In △ABC\triangle ABC, AB = 48 cm, BC = 55 cm and AC = 73 cm. If O is the centroid of the triangle, then the length (in cm) of BO (correct to one decimal place) is:

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