In ΔABC, if G is the centroid and AD is a median with length 9 cm, then the length of AG is:
Explanation:
We know, centroid divides the median in the ratio of 2 : 1 [The part closer to vetex will be longer.]
∴ AG : GD = 2 : 1
Also, AD = AG + GD = 9
⇒ AG = 2/3 × 9 = 6 cm.
Hence, option (b).
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