ত্রিভুজ ABC-তে, BAC কোণের দ্বিখণ্ডক BC রেখাকে D-এ কেটে দেয়। BD = 6 এবং BC = 14 হলে, AB AC-এর মান কত?

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 3)
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  1. 3 4
  2. 7 3
  3. 3 10
  4. 3 7

Answer (Detailed Solution Below)

Option 1 : 3 4
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
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প্রদত্ত:

ত্রিভুজ ABC-তে, BAC কোণের দ্বিখণ্ডক D-এ BC রেখাকে কাটে।

BD = 6 এবং BC = 14

ব্যবহৃত ধারণা:

কোণ দ্বিখণ্ডক উপপাদ্য: একটি ত্রিভুজের কোণ দ্বিখণ্ডক বিপরীত বাহুকে ত্রিভুজের অন্য দুটি বাহুর সমানুপাতিক দুটি অংশে বিভক্ত করে।

গণনা:

DC = BC - BD = 14 - 6 = 8 সেমি

কোণ দ্বিখণ্ডিত উপপাদ্য অনুসারে,

বিডি/সিডি = এবি/এসি

⇒ 6/8 = AB/AC

⇒ AB : AC = 3 : 4

AB : AC এর মান 3 : 4।

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