വിസ്തീർണ്ണം 96 ചതുരശ്ര സെന്റിമീറ്ററും ആദ്യ വികർണ്ണത്തിന്റെ അളവ് 6 സെന്റിമീറ്ററും ആണെങ്കിൽ, ഒരു സമചതുർഭുജത്തിന്റെ രണ്ടാമത്തെ വികർണ്ണത്തിന്റെ അളവ് എത്രയാണ്?

This question was previously asked in
RRB ALP Electronics Mechanic 21 Jan 2019 Official Paper (Shift 1)
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  1. 48 cm
  2. 16 cm
  3. 24 cm
  4. 32 cm

Answer (Detailed Solution Below)

Option 4 : 32 cm
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നൽകിയത്,

സമചതുർഭുജത്തിന്റെ വിസ്തീർണ്ണം = 96 cm2

ആദ്യത്തെ വികർണ്ണത്തിന്റെ നീളം (d1) = 6 സെന്റീമീറ്റർ

ആശയം:/സൂത്രവാക്യം:

സമചതുർഭുജത്തിന്റെ വിസ്തീർണ്ണം = (1/2) × d1 × d2

d1 = ആദ്യ വികർണ്ണം 

d= രണ്ടാം വികർണ്ണം 

കണക്കുകൂട്ടൽ:

സമചതുർഭുജത്തിന്റെ വിസ്തീർണ്ണം = (1/2) × d1 × d2

⇒ 96 = (1/2) × 6 × d2

⇒ d2 = 96/3

⇒ d2 = 32

രണ്ടാം വികർണ്ണത്തിന്റെ നീളമാണ് 32 cm.

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