In triangle ABC, D is the mid-point of BC and G is the centroid. If GD = 10 cm, then the length of AD is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 30 cm.
In a triangle, the centroid divides the median in a ratio of 2 : 1.
Let GD = 2x and DG = x
GD = 10 cm
So, 2x = 2 × 10 = 20 cm
x = 10 cm
AD = AG + DG
AD = 20 cm + 10 cm
AD = 30 cm