G is the centroid of the equilateral triangle ABC. If AB = 8√ 3 cm, then the length of AG is equal to:
8 cm
The correct answer is 8 cm.
This matches our calculated AG length. $r = \frac{8\sqrt{3}}{2\sqrt{3}} = 4$ cm. The median length AD = AG + GD = R + r = 8 + 4 = 12 cm, which also matches our earlier calculation for the median length. This confirms our calculation that the length of AG is 8 cm.
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