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A point D is taken on the side B C of...

A point `D` is taken on the side `B C` of a `\ A B C` such that `B D=2D Cdot` Prove that `a r\ (\ A B D)=\ 2\ a r\ (\ A D C)`

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To prove :
`ar(Δ ABD) = 2ar(Δ ADC)`
Proof : In `∆ABC`, we have
`BD = 2DC`
Let `E` be the midpoint of `BD` . Then ,
`BE = ED = DC`
...
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