যদি কোনও ত্রিভুজের কোণগুলি 9 ∶ 11 ∶ 16 অনুপাতে থাকে, তাহলে বৃহত্তম কোণ এবং ক্ষুদ্রতম কোণের মধ্যে পার্থক্য হল:

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SSC Selection Post 2024 (Graduate Level) Official Paper (Held On: 21 Jun, 2024 Shift 3)
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  1. 30°
  2. 25°
  3. 40°
  4. 35°

Answer (Detailed Solution Below)

Option 4 : 35°
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প্রদত্ত:

ত্রিভুজের কোণগুলি 9 ∶ 11 ∶ 16 অনুপাতে আছে।

ব্যবহৃত সূত্র:

ত্রিভুজের কোণের সমষ্টি = 180º

গণনা:

ধরি কোণগুলি 9x, 11x এবং 16x

কোণের সমষ্টি = 9x + 11x + 16x = 180º

⇒ 36x = 180º

⇒ x = 5º

বৃহত্তম কোণ = 16x = 16 x 5º = 80º

ক্ষুদ্রতম কোণ = 9x = 9 x 5º = 45º

বৃহত্তম কোণ এবং ক্ষুদ্রতম কোণের মধ্যে পার্থক্য = 80º - 45º = 35º

∴ সঠিক উত্তর হল বিকল্প 4.

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