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IPMAT Indore 2022 - QA (MCQ) Q29 Explanation

Author : Akash Kumar Singh

December 28, 2024

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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