त्रिभुज ABC में, कोण BAC का समद्विभाजक भुजा BC को D पर काटता है। यदि AB = 10 सेमी, और AC = 14 सेमी है, तो BD ∶ DC क्या है?

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SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 1)
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  1. 10  7
  2. 7
  3. 5
  4. 10

Answer (Detailed Solution Below)

Option 2 : 5  7
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दिया गया है:

AB = 10 सेमी, और AC = 14 सेमी

प्रयुक्त अवधारणा:

त्रिभुज का कोण समद्विभाजक, सम्मुख भुजाओं को त्रिभुज की अन्य दो भुजाओं के समानुपात में दो भागों में विभाजित करता है।

गणना:

 

अवधारणा के अनुसार,

AB/AC = BD/DC

⇒ 10/14 = BD/DC

⇒ 5/7 = BD/DC

इसलिए, BD : DC = 5 : 7

∴ अभीष्ट उत्तर 5 : 7 है।

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