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Question

In ABC, AD, BE and CF are medians, and G is centroid. If AD=15 cm, find AG.


A
5 cm
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B
8 cm
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C
10 cm
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D
12 cm
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Solution

The correct option is C 10 cm

We know that centroid divides a median in the ratio 2:1.

So, G divides AD in the ratio 2:1.

Let GD=x, then AG=2x.

AD=AG+GD

15=2x+x

3x=15

x=153=5 cm

AG=2x=2×5=10 cm


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