Fig. 9.31. In Fig.9.33, ABC and BDE are two equilateralFig. 9.32triangles such that D is the mid-point of BC. If AEintersects BC at F, show thato(BDE)^ ar (ABC)1) ar4avi)ar (BDE)ar (BAE)F/Drectr(ii) ar (ABC) 2 ar (BEC)(iv) ar (BFE) ar (AFD)(v) ar (BFE) 2 ar (FED)Fig. 9.33(vi) ar (FED)ar (AFC)int: Join EC andAD. Show that BEII AC and DE IAB, etc.]

Fig. 9.31. In Fig.9.33, ABC and BDE are two equilateralFig. 9.32triang

1.	Fig. 9.31. In Fig.9.33, ABC and BDE are two equilateralFig. 9.32triangles such that D is the mid-point of BC. If AEintersects BC at F, show thato(BDE)^ ar (ABC)1) ar4avi)ar (BDE)ar (BAE)F/Drectr(ii) ar (ABC) 2 ar (BEC)(iv) ar (BFE) ar (AFD)(v) ar (BFE) 2 ar (FED)Fig. 9.33(vi) ar (FED)ar (AFC)int: Join EC andAD. Show that BEII AC and DE IAB, etc.]
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