ഒരു മട്ടത്രികോണം ABCയിൽ, B മട്ടകോണാണ്. tan A = 4/3. AC = 25 സെന്റിമീറ്റർ ആണെങ്കിൽ, BCയുടെ നീളം കണ്ടെത്തുക:

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

Answer (Detailed Solution Below)

Option 2 : 20 സെ.മീ.
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Detailed Solution

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തന്നിരിക്കുന്നത്, tan A = 4/3 = BC/AB

BC = 4x, AB = 3x ആണെന്ന് കരുതുക 

പൈതഗോറസ് സിദ്ധാന്തം അനുസരിച്ച്,

AC2 = AB2 + BC2

⇒ 252 = (3x)2 + (4x)2

⇒ 625 = 9x2 + 16x2

⇒ 625 = 25x2

⇒ x2 = 25

⇒ x = 5

∴ BCയുടെ നീളം = 4x = 4 × 5 = 20 സെ.മീ.

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