त्रिकोण ABC मध्ये, BAC चा दुभाजक बाजू BC ला D वर कापतो. जर AB = 10 सेमी, आणि AC = 14 सेमी तर BD : BC किती? 

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 1)
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  1. 5 : 3
  2. 7 : 5
  3. 5 : 2
  4. 5 : 12

Answer (Detailed Solution Below)

Option 4 : 5 : 12
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
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Detailed Solution

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दिलेल्याप्रमाणे:  

AB = 10 सेमी, आणि AC = 14 सेमी

वापरलेली संकल्पना:

त्रिकोणाचा कोन दुभाजक विरुद्ध बाजूस त्रिकोणाच्या इतर दोन बाजूंच्या प्रमाणात दोन भागांमध्ये विभाजित करतो.

गणना:

संकल्पनेनुसार,

AB/AC = BD/DC

⇒ 10/14 = BD/DC

⇒ 5/7 = BD/DC

तर, BD : DC = 5 : 7

आता, BC = 5 + 7

⇒ 12

तर, BD : BC = 5 : 12

∴ आवश्यक उत्तर 5 : 12 आहे.

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