Mathematics

Mathematics

Problem

In △ABC\triangle ABC, a line through DD on ABAB and EE on ACAC meets the sides such that AD=2x−3 cmAD = 2x - 3\,\text{cm}, DB=x cmDB = x\,\text{cm}, AE=5 cmAE = 5\,\text{cm} and EC=3 cmEC = 3\,\text{cm}. If the line is parallel to BCBC, find the value of xx. a) x=6x = 6 b) x=3x = 3 c) x=4x = 4 d) x=9x = 9

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