ΔABCல், D மற்றும் E முறையே AB மற்றும் ACல் உள்ள புள்ளிகள். DE என்பது BCக்கு இணையாக உள்ளது. AD, DB மற்றும் DEன் நீளம் முறையே 8 செ.மீ., 6 செ.மீ மற்றும் 4 செ.மீ. BCன் நீளம் என்ன?

  1. 7செமீ
  2. 4செமீ
  3. 6செமீ
  4. 10 செமீ

Answer (Detailed Solution Below)

Option 1 : 7செமீ
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Detailed Solution

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கொடுக்கப்பட்டவை:

AD = 8 செமீ; DB = 6 செமீ; DE = 4 செமீ

பக்கம் ABன் நீளம் = AD + DB = 8 + 6 = 14 செமீ

பண்புகள்:

எந்தப் பக்கத்திற்கும் இணையாக வரையப்பட்ட ஒரு கோடு, மற்ற இரண்டு பக்கங்களையும் விகிதாசாரமாக வெட்டுகிறது.

⇒ AD/DE = AB/BC

⇒ 8/4 = 14/BC

⇒ BC = 14 × 4/ 8

⇒ BC = 56/8 = 7 செமீ

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