Question 125

In $$\triangle$$ABC, D is the mid-point of BC and G is the centroid. If GD = 5 cm, then the length of AD is:

Given : G is the centroid of $$\triangle$$ ABC and GD = 5 cm

To find : AD = ?

Solution : A centroid divides a median in the ratio 2 : 1

=> $$AG:GD=2:1$$

=> $$AG=\frac{2}{1}\times5=10$$ cm

$$\therefore$$ AD = AG + GD

= $$10+5=15$$ cm

=> Ans - (C)

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