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D and E are points on sides AB and AC, respectively of ΔABC such that ar(DBC) = ar(EBC). Prove that DE || BC. Q.7

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Please give me the best way for solving the problem of class 9th ncert math of Areas of Parallelograms and Triangles chapter of math of class 9th of exercise 9.3of question no 7  what is the tricky way for solving this question D and E are points on sides AB and AC, respectively of ΔABC such that ar(DBC) = ar(EBC). Prove that DE || BC.

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  1. Ncert solutions class 9 chapter 9-16

    ΔDBC and ΔEBC are on the same base BC and also having equal areas.

    ∴, they will lie between the same parallel lines.

    ∴, DE || BC.

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