In ΔABC, if G is the centroid and AD is a median with length 9 cm, then the length of AG is:

8 cm 5 cm 7 cm 6 cm

6 cm

As it is given that G is centroid So, \(\frac{AG}{GD}\) = \(\frac{2}{1}\) And AD = 9 cm AD = AG + GD ( 2 + 1 )R = 9 cm 3R = 9 1R = 3 AG = 2R = 2 × 3 = 6 cm So, Length of AG = 6 cm