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In Fig.9.33, ABC and BDE are two equila...

In Fig.9.33, ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE intersects BC at F, show that(i) `a r (B D E)=1/4a r (A B C)`(ii) `a r(B D E)=1/2a r (B A E)`(iii) `a r (A B C) = 2a r\ (BEC)`

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