In the figure,
D is the mid point of side BC.
Hence, BD = CD
G is the centroid of triangle ABC.
As we know centroid divide median in 2:1 ratio
Hence, AG : GD =2:1
If two triangles have same base of line and common vertex then their ratio of their area is equal to their base ratio.
A(ΔAGB)A(ΔABC)=AGAD
⇒A(ΔAGB)A(ΔABC)=23.
![1196804_1352576_ans_a6455e8f9a844d33aa682929385d3611.png](https://search-static.byjusweb.com/question-images/toppr_invalid/questions/1196804_1352576_ans_a6455e8f9a844d33aa682929385d3611.png)