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If D, E and F are respectively, the mid-...

If D, E and F are respectively, the mid-points of AB, AC and BC in `DeltaABC`, then BE + AF is equal to

A

DC

B

`(1)/(2)BF`

C

`2BF`

D

`(3)/(2)BF`

Text Solution

Verified by Experts

The correct Answer is:
A
`BE+AF=OE-OB+OF-OA`

`=(OA+OC)/(2)-OB+(OB+OC)/(2)-OA`
`=OC-(OA+OB)/(2)=OC-OD=DC`
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