দুটি সদৃশ ত্রিভুজের সংশ্লিষ্ট বাহুগুলি 9 ∶ 4 অনুপাতে থাকলে তাদের ক্ষেত্রফলের অনুপাত কত?

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SSC CGL Memory Based Test (Held on: 14 July, 2023) (All Shifts)
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  1. 9 ∶ 4
  2. 3 ∶ 2
  3. 81 ∶ 16
  4. 27 ∶ 8

Answer (Detailed Solution Below)

Option 3 : 81 ∶ 16
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Detailed Solution

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অনুসৃত ধারণা:

দুটি ত্রিভুজ সদৃশ হলে,

তাদের ক্ষেত্রফলের অনুপাত = তাদের বাহুর অনুপাতের বর্গ 

গণনা:

প্রদত্ত,

সদৃশ ত্রিভুজের বাহুর অনুপাত 9 : 4

উপরের ধারণা ব্যবহার করে,

⇒ 

⇒ 

∴ তাদের ক্ষেত্রফলের অনুপাত 81 : 16

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