त्रिकोण ABC मध्ये, AD हा कोन A चा कोनदुभाजक आहे. जर AB = 8.4 सेमी आणि AC = 5.6 सेमी आणि DC = 2.8 सेमी असेल, तर बाजू BC ची लांबी असेल:

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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 सेमी
  2. 5.6 सेमी
  3. 7 सेमी
  4. 2.8 सेमी

Answer (Detailed Solution Below)

Option 3 : 7 सेमी
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दिलेले आहे:

AB = 8.4 सेमी, आणि AC = 5.6 सेमी, DC = 2.8 सेमी

वापरलेली संकल्पना:

त्रिकोणाचा कोनदुभाजक संमुख बाजूला दोन भागांमध्ये विभागतो, जे त्रिकोणाच्या इतर दोन बाजूंशी प्रमाणशीर असतात.

गणना:

 

F1 SSC Amit A 24-02-2023 D11

संकल्पनेनुसार,

AB/AC = BD/DC

⇒ 8.4/5.6 = BD/2.8

⇒ 8.4/2 = BD

⇒ 4.2 = BD

अशाप्रकारे, BD + DC = BC

BC = 4.2 + 2.8

⇒ 7 सेमी

 बाजू BC ची लांबी 7 सेमी असेल.

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