Question
Download Solution PDFസമചതുരത്തിന്റെ വിസ്തീർണ്ണം 32 സെ.മീ2 ആണെങ്കിൽ, ഒരു സമചതുരത്തിന്റെ വികർണ്ണത്തിന്റെ നീളം കണക്കാക്കുക.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFനൽകിയിരിക്കുന്നത്:
സമചതുരത്തിന്റെ വിസ്തീർണ്ണം = 32 സെ.മീ2
ഉപയോഗിച്ച സൂത്രവാക്യം:
വിസ്തീർണ്ണം = (വശം)2
വികർണ്ണം = √2 × വശം
കണക്കുകൂട്ടൽ:
സമചതുരത്തിന്റെ വശത്തിന്റെ നീളം x ആണെന്നിരിക്കട്ടെ.
ചോദ്യമനുസരിച്ച്,
x2 = 32
⇒ x = √32
⇒ x = 4√2
∴ വികർണ്ണത്തിന്റെ നീളം = 4√2 × √2 = 8 സെ.മീ.
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