InterviewSolution
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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 |
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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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