In ∆ ABC, D is the mid–point of BC and G is the

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In ∆ ABC, D is the mid–point of BC and G is the centroid. If GD = 5 cm, then the length of AD is :

1. 10 cm
2. 12 cm
3. 15 cm
4. 20 cm

Correct Option: C

As per the given in question , we draw a figure triangle ABC in which D is the mid–point of BC and G is the centroid ,

We know that , AG : GD = 2 : 1
AD = 3GD = 3 × 5 = 15 cm.