ഒരു സമചതുർഭുജത്തിന്റെ ഒരു വശത്തിന്റെ നീളം 13 സെന്റിമീറ്ററും വികർണ്ണങ്ങളിൽ ഒന്നിന്റെ നീളം 10 സെന്റിമീറ്ററുമാണ്. രണ്ടാമത്തെ വികർണ്ണത്തിന്റെ നീളം എത്രയാണ്?

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RRB ALP Previous Paper 6 (Held On: 13 Aug 2018 Shift 1)
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  1. 24 cm
  2. 23 cm
  3. 25 cm
  4. 22 cm

Answer (Detailed Solution Below)

Option 1 : 24 cm
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Detailed Solution

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നമുക്കറിയാം,

(സമചതുർഭുജത്തിന്റെ വശം)2 = (ഒരു വികർണ്ണത്തിന്റെ  പകുതി)2 + (മറ്റൊരു വികർണ്ണത്തിന്റെ പകുതി)2

⇒ 132 = (10/2)2 + (രണ്ടാമത്തെ വികർണ്ണത്തിന്റെ പകുതി)2

⇒ 169 – 25 = (രണ്ടാമത്തെ വികർണ്ണത്തിന്റെ പകുതി)2

⇒ രണ്ടാമത്തെ വികർണ്ണത്തിന്റെ പകുതി = 12

∴ രണ്ടാമത്തെ വികർണ്ണത്തിന്റെ നീളം = 12 × 2 = 24cm

 

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