ত্রিভুজ ABC-তে, AD হলো কোণ A-এর কোণ সমদ্বিখণ্ডক। যদি AB = 8.4 সেমি এবং AC = 5.6 সেমি এবং DC = 2.8 সেমি হয়, তাহলে BC বাহুর দৈর্ঘ্য কত হবে?

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 1)
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  1. 4.2 সেমি 
  2. 5.6 সেমি 
  3. 7 সেমি 
  4. 2.8 সেমি 

Answer (Detailed Solution Below)

Option 3 : 7 সেমি 
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Detailed Solution

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প্রদত্ত:

AB = 8.4 সেমি, এবং AC = 5.6 সেমি, DC = 2.8 সেমি 

অনুসৃত ধারণা:

ত্রিভুজের কোণ সমদ্বিখণ্ডক বিপরীত বাহুকে দুটি অংশে ভাগ করে যা ত্রিভুজের অন্যান্য দুটি বাহুর সাথে সমানুপাতী।

গণনা:

 

F1 SSC Amit A 24-02-2023 D11

ধারণা অনুযায়ী,

AB/AC = BD/DC

⇒ 8.4/5.6 = BD/2.8

⇒ 8.4/2 = BD

⇒ 4.2 = BD

তাই, BD + DC = BC

BC = 4.2 + 2.8

⇒ 7 সেমি 

∴ তাই BC বাহুর দৈর্ঘ্য 7 সেমি হবে।.

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