ΔABC-তে, D হল AB-এর বাহুতে একটি বিন্দু যেখানে BD = 3 সেমি এবং DA = 4 সেমি, E হল BC এর উপর একটি বিন্দু যেখানে DE || AC, তাহলে ΔBDE এর ক্ষেত্রফল : ট্রাপিজিয়াম ACED এর ক্ষেত্রফল কত?

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SSC CGL 2020 Tier-I Official Paper 13 (Held On : 20 Aug 2021 Shift 1)
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  1. 16 : 33
  2. 33 : 16
  3. 40 : 9
  4. 9 : 40

Answer (Detailed Solution Below)

Option 4 : 9 : 40
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Detailed Solution

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প্রদত্ত:

BD = 3 সেমি

DA = 4 সেমি

অনুসৃত ধারণা:

সমতার ধারণা

গণনা:

F3 ArunK Madhuri 17.01.2022 D3

এখানে ΔABC ∼ ΔBDE [∵ DE || AC এবং ∠B দুটি ত্রিভুজের জন্য সাধারণ]

সুতরাং,

ΔABC/ΔBDE = 72 /32

ΔABC/ΔBDE = 49/9

ACED = ΔABC - ΔBDE

⇒ 49 - 9 = 40

∴ অনুপাত হল 9 : 40

∴ সুতরাং ΔBDE এর ক্ষেত্রফল : ট্রাপিজিয়াম ACED এর ক্ষেত্রফল হল 9 : 40

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