1.

In the figure ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that ar (AEDF) = ar (ABCDE)

Answer»

□AEDF = □AEDC + ΔACF 

= □AEDC + ΔABC 

[ ∵ ΔACF = ΔACB] 

= area (ABCDE) 

Hence proved.



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