net triangle ABC D and e are the points on AB and ac respectively if ad is equal to 2.7 CM DB is equal to 13.5 cm is equal to 3.3 cm and ac is equal to 16.5 CM then show that De parallel to BC
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Step-by-step explanation:
In ∆ABC, we have DE∥BC.Since, DE∥BC, thenADBD = AEEC [Basic proportionality theorem] .........(1)Now, AD = 13BD (given)⇒ADBD = 13now, from (1) we get13 = 4.5EC [∵ AE = 4.5 cm]⇒EC = 13.5 cmNow, AC = AE+EC = 4.5+13.5 = 18 cm
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