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In ∆ ABC two medians BE and CF intersect at the point O and P, Q are the midpoints of BO and CO respectively. If the length of PQ = 3cm, then the length of FE will be
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- 3 cm
- 6 cm
- 9 cm
- 12 cm
- 3 cm
Correct Option: A
On the basis of question we draw a figure of triangle ABC ,
The line joining the mid-points of two sides of a triangle is parallel to the third side and half of that one.
∴ FE = | BC (From ∆ ABC) | |
2 |
PQ = | BC (From ∆ BOC) | |
2 |
∴ FE = PQ = 3 cm.