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In a triangle ABC, DE‖BC , if AD:AB=1:2 and BC=6cm, then DE is ------ a. 1cm b. 2cm c. 3cm d. 4cm​

Answer»

BC = 10 cm Given,              AD = 3 cm, DB = 2 cm, DE = 6 cm               AB = AD + DB = 3 + 2 = 5 cm Given,                 DE║BC   AB is the transversal           ⇒ ∠ADE = ∠ABC   [∵ pair of corresponding angles]   ------(1) Similarly, if AC is transversal           ⇒ ∠AED = ∠ACB     [∵ pair of corresponding angles]   -----(2) In ΔABC, ΔADE,               ∠ADE = ∠ABC        [From (1)]               ∠AED = ∠ACB        [From (2)]               ∠DAE = ∠BAC        [COMMON angle] Since all THREE angles are EQUAL, corresponding sides will be proportionateExplanation:brainly.in/question/8591498#:~:text=Since%20DE%20%7C%7C%20BC,BC%20%3D%2010%20cm for more details



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