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A B C D is a parallelogram and E is the ...

`A B C D` is a parallelogram and `E` is the mid-point of `B C ,\ D E\ a n d\ A B` when produced meet at `Fdot` Then `A F=` `3/2A B` (b) `2\ A B` (c) `3\ A B` (c) `5/4\ A B`

Text Solution

Verified by Experts

In `triangleDEC` and `triangleFEB`
`angleDEC=angleFEB` (V.O.A)
`angleDCE=angleFBE` (alternate angles)
`CE=EB` (Given)
`triangleDEC~=triangleFEB` (By AAS)
`DC=FB` (By CPCT)
Now, `AF=AB+BF`
As we know that `BF=DC` and `AB=DC`
...
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