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The length of the diagonal BD of the parallelogram ABCD is 18 cm. If P and Q are the centroid of the ;∆ ABC and ∆ ADC respectively then the length of the line segment PQ is
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- 4 cm
- 6 cm
- 9 cm
- 12 cm
- 4 cm
Correct Option: B
According to question , we draw a figure of parallelogram ABCD ,
Centroid is the point where medians intersect. Diagonals of parallelogram bisect each other.
OP = | × 9 = 3cm | |
3 |
OQ = | × 9 = 3cm | |
3 |
∴ PQ = OP + OQ = 3 + 3 = 6cm