Mathematics

Mathematics

Problem

In △ABC\triangle ABC, points DD and EE lie on ABAB and ACAC respectively. If AD=4 cmAD = 4\,\text{cm}, DB=6 cmDB = 6\,\text{cm}, AE=5 cmAE = 5\,\text{cm} and EC=8 cmEC = 8\,\text{cm}, decide whether DEDE is parallel to BCBC. Give a brief reason.

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