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Medians of a Triangle and the Drawing Method

In △ ABC, D...

Question

In $△ A B C$ , D is the mid-point of BC and
G is the centroid of the triangle If GD=4 cm then the length of AD is-

8 cm

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6 cm

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10 cm

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None of these

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Solution

The correct option is B 10 cm
Centroid divides the median in the ratio 2 : 1
AG : GD = 2 : 1
So AG = 2 $\times$ GD
= 2 $\times$ 4= 8 cm
AD = AG+GD
= 8 + 2 = 10 cm

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