Please give me the best way for solving the problem of class 9^{th} ncert math of Areas of Parallelograms and Triangles chapter of math of class 9^{th} 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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# 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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ΔDBC and ΔEBC are on the same base BC and also having equal areas.

∴, they will lie between the same parallel lines.

∴, DE || BC.