Question 136
If AD is the median of the triangle ABC and G be the centroid, then the ratio of AG : AD is
Solution
A centroid divides a median in the ratio 2 : 1
=> $$\frac{AG}{DG} = \frac{2}{1}$$
=> $$\frac{AG}{AG + DG} = \frac{2}{2+1}$$
=> $$\frac{AG}{AD} = \frac{2}{3}$$
=> Required ratio = 2 : 3
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