সমবাহু ত্রিভুজের পরিসীমা 48 সেমি। এর ক্ষেত্রফল (বর্গ সেমি) নির্ণয় করো।

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 2)
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  1. 81√3
  2. 8√3
  3. 25√3
  4. 64√3

Answer (Detailed Solution Below)

Option 4 : 64√3
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Detailed Solution

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প্রদত্ত:

সমবাহু ত্রিভুজের পরিসীমা = 48 সেমি

ব্যবহৃত সূত্র:

সমবাহু ত্রিভুজের পরিসীমা = 3 × বাহু

গণনা:

সমবাহু ত্রিভুজের পরিসীমা = 48

3 × বাহু = 48

⇒ বাহু = 48/3 = 16 সেমি

সমবাহু ত্রিভুজের ক্ষেত্রফল = {√3 × (বাহু)2}/4

⇒ {√3 × (16)2}/4 = 256√3/4

⇒ 64√3 বর্গ সেমি

∴ সঠিক উত্তর হল 64√3 বর্গ সেমি

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