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Question
The given triangle has Centroid at O.
If PC = 54 cm, Find the length of OC.
The given triangle has Centroid at O.
If PC = 54 cm, Find the length of OC.
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Solution
The correct option is C 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
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
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