যদি একটি ত্রিভুজের তিনটি কোণ (18x+6°), (10x+30°) এবং (15x+15°) হয়, তাহলে ত্রিভুজটি হল:

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SSC Selection Post 2024 (Graduate Level) Official Paper (Held On: 25 Jun, 2024 Shift 3)
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  1. স্কেলিন
  2. সমবাহু
  3. সমদ্বিবাহু
  4. সমকোণী

Answer (Detailed Solution Below)

Option 2 : সমবাহু
Free
SSC Selection Post Phase 13 Matriculation Level (Easy to Moderate) Full Test - 01
100 Qs. 200 Marks 60 Mins

Detailed Solution

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দেওয়া হয়েছে:

একটি ত্রিভুজের তিনটি কোণ হল (18x + 6º), (10x + 30º), এবং (15x + 15º)

ব্যবহৃত সূত্র:

একটি ত্রিভুজের কোণের সমষ্টি = 180º

গণনা:

(18x + 6) + (10x + 30) + (15x + 15) = 180

⇒ 18x + 10x + 15x + 6 + 30 + 15 = 180

⇒ 43x + 51 = 180

⇒ 43x = 180 - 51

⇒ 43x = 129

⇒ x = 3

কোণ: (18×3 + 6) = 60º, (10×3 + 30) = 60º, (15×3 + 15) = 60º

∴ ত্রিভুজটি হলো সমবাহু।

∴ সঠিক উত্তরটি হল বিকল্প 2. 

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