In the adjoining figure,BD||CA, E is the midpoint of CA and BD=12CA.Prove that ar(△ ABC)=2ar(△ DBC).

In the adjoining figure,BD||CA, E is the midpoint of CA and BD=12CA.Pr

1.	In the adjoining figure,BD\|\|CA, E is the midpoint of CA and BD=12CA.Prove that ar(△ ABC)=2ar(△ DBC).
Answer» In the adjoining figure,BD\|\|CA, E is the midpoint of CA and BD= $\frac{1}{2} C A$ .Prove that $a r (△ A B C) = 2 a r (△ D B C)$ .