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 proportionate
Explanation:
https://brainly.in/question/8591498#:~:text=Since%20DE%20%7C%7C%20BC,BC%20%3D%2010%20cm for more details
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there is ur answer hope it will help u
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