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G and AD are respectively the centroid and median of the triangle ∆ABC.The ratio AG : AD is equal to
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- 3:2
- 2:3
- 2:1
- 1:2
- 3:2
Correct Option: B
On the basis of question we draw a figure of triangle ABC in which G and AD are respectively the centroid and median ,
The point of intersection of medians of a triangle is called centroid. It divides each median in the ratio 2 : 1.
| ∴ | = | ⇒ | = | ||||
| GD | 1 | AG | 2 |
| ⇒ | + 1 = | + 1 | ||
| AG | 2 |
| ⇒ | = | ||
| AG | 2 |
| ⇒ | = | ||
| AG | 2 |
⇒ AG : AD = 2 : 3
