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Question

The given triangle has Centroid at O.

If PC = 54 cm, Find the length of OC.



A

18 cm

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B

24 cm

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C

36 cm

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D

42 cm

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Solution

The correct option is B

36 cm


PC is a Median and O is the centroid.

Centroid Divides Median in the Ratio 2 : 1.

OC : OP = 2 : 1

OC = 2x and OP = x

PC = OC + OP = 2x + x = 3x

3x = 54 

x = 18 cm

Length of OC = 2x = 2 × 18  = 36 cm


Mathematics

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