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In Fig. 9.27, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that (ii) ar(AEDF) = ar(ABCDE) Q.11(2)

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Give me the best way for solving the question of class 9th of Areas of Parallelograms and Triangles of exercise 9.3 of math. Give me the easiest way for solving this question in simple way of question no. 11(2) In Fig. 9.27, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that (ii) ar(AEDF) = ar(ABCDE

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    1. △ACB and △ACF lie on the same base AC and between the same parallels AC and BF.

    ∴ar(△ACB) = ar(△ ACF)

    1. ar(△ACB) = ar(△ACF)

    ⇒ ar(△ACB)+ar(△ACDE) = ar(△ACF)+ar(△ACDE)

    ⇒  ar(ABCDE) = ar(△AEDF)

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