In ΔABC, if G is the centroid and AD is a median with length 9 cm, then the length of AG is:
Answer & explanation
Correct answer: option 4
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