முக்கோண ABC இல், BAC கோணத்தின் இருமுனையானது BCயின் பக்கத்தை D இல் வெட்டுகிறது. AB = 10 செ.மீ, மற்றும் AC = 14 செ.மீ என்றால் BD: BC என்ன?

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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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கொடுக்கப்பட்டது:

AB = 10 செ.மீ., மற்றும் AC = 14 செ.மீ

பயன்படுத்தப்பட்ட கருத்து:

ஒரு முக்கோணத்தின் கோண இருமுனையானது முக்கோணத்தின் மற்ற இரண்டு பக்கங்களுக்கு விகிதாசாரமாக எதிர் பக்கத்தை இரண்டு பகுதிகளாக பிரிக்கிறது.

கணக்கீடு:

F1 SSC Amit A 24-02-2023 D9

கருத்தின்படி,

AB/AC = BD/DC

⇒ 10/14 = BD/DC

⇒ 5/7 = BD/DC

எனவே, BD : DC = 5 : 7

இப்போது, BC = 5 + 7

⇒ 12

எனவே, BD : BC = 5 : 12

∴ தேவையான பதில் 5 : 12.

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