December 28, 2024
Explanation:
(D)
Given AD : DB = AE : EC = 1:1.
Using Thale’s theorem, we can say that the line DE will be parallel to BC.
It means ∆ADE & ∆ABC are two right angled similar triangles.
Answer for the two similar triangles, the ratio of corresponding sides is equal.
∴ BC/DE = AB/AD
BC/6 = 2x/x
⇒ BC = 12 cm