ஒரு ABC என்ற செங்கோண முக்கோணம், Bஇல் செங்கோணமாக உள்ளது, மற்றும் tan A = 4/3. AC = 25 செ.மீ என்றால், BCஇன் நீளம்:

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RRB ALP CBT I 31 Aug 2018 Shift 2 Official Paper
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  1. 24 செ.மீ.
  2. 20 செ.மீ.
  3. 18.75 செ.மீ.
  4. 33.3 செ.மீ.

Answer (Detailed Solution Below)

Option 2 : 20 செ.மீ.
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Detailed Solution

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கொடுக்கப்பட்டவை, tan A  = 4/3 = BC / AB

BC = 4x மற்றும் AB = 3x ஆக எடுத்துக்கொள்வோம்

பிதாகரசின் தேற்றத்தால்,

AC2 = AB2 + BC2

⇒ 252 = (3x)2 + (4x)2

⇒ 625 = 9x2 + 16x2

⇒ 625 = 25x2

⇒ x2 = 25

⇒ x = 5

∴ BCஇன் நீளம் = 4x = 4 × 5 = 20 செ.மீ 

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