In the given figure, if DE is parallel to BC, AE=8cm, EC=2cm and BC=6cm, then find DE. Share with your friends Share 31 Tanveer Sofi answered this Since DE∥BC and AB is a transversal, then∠ADB = ∠ABC Corresponding anglesSince DE∥BC and AC is a transversal, then∠AED = ∠ACB Corresponding anglesIn ∆ADE and ∆ABC,∠ADB = ∠ABC Proved above∠AED = ∠ACB Proved above∆ADE ~ ∆ABC AA⇒ADAB = DEBC = AEAC Corresponding sides of similar ∆'s are proportional⇒DEBC = AEAC⇒DE6=810⇒DE = 4.8 cm 3 View Full Answer