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In the given figure, ABC and BDE are two equilateral triangles such that D is the mid-point of BC. AE intersects BC in F. Prove that(i) ar (Δ BDE) = 14 ar (Δ ABC)(ii) ar (Δ BDE) = 12 ar (Δ BAE)(iii) ar (Δ BFE) =ar (Δ AFD)(iv) ar (ΔABC) = 2 ar (Δ BEC)(v) ar (Δ FED) = 18 ar (Δ AFC)(vi) ar (Δ BFE) = 2 ar (EFD) |
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Answer» In the given figure, ABC and BDE are two equilateral triangles such that D is the mid-point of BC. AE intersects BC in F. Prove that (i) ar (Δ BDE) = ar (Δ ABC) (ii) ar (Δ BDE) = ar (Δ BAE) (iii) ar (Δ BFE) =ar (Δ AFD) (iv) ar (ΔABC) = 2 ar (Δ BEC) (v) ar (Δ FED) = ar (Δ AFC) (vi) ar (Δ BFE) = 2 ar (EFD) |
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