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Centroid Divides Median in the Ratio 2:1

The following...

Question

The following figure has centroid at the point O

If AO = 6 cm , find the length of OR.

2 cm

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5 cm

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3 cm

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12 cm

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Solution

The correct option is C
3 cm

O is the centroid

The centroid divides median in the ratio 2 : 1

AO : OR = 2 : 1

AO = 2x and OR = x

AO = 2x = 6 cm

$\Rightarrow$ x = 3 cm which is the length of OR

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