Equilateral triangle of given side: distance from centroid to a vertex

The same question, asked 2 times: 8 Aug 2022 Tier II*, 6 Mar 2023 Tier II. Every wording below, oldest first.

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Question 1
8 Aug 2022 Tier II
65 $PQR is an equilateral triangle and the centroid of triangle PQR is point A. If the side of the triangle is 12 cm, then what is the length of PA?$
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Question 2
6 Mar 2023 Tier II
17 $The centroid of an equilateral triangle PQR is L. If PQ = 6 cm, the length of PL is:$
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