Question
Download Solution PDFഎല്ലാ ആന്തരിക കോണുകളുടെയും ആകെ തുക 2160° ആയ ഒരു ബഹുഭുജത്തിന്റെ വശങ്ങളുടെ എണ്ണം കണ്ടെത്തുക?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFതന്നിരിക്കുന്നത്:
എല്ലാ ആന്തരിക കോണുകളുടെയും ആകെ തുക = 2160°
ഉപയോഗിച്ച സൂത്രവാക്യം:
ബഹുഭുജത്തിന്റെ ആന്തരിക കോണുകളുടെയും ആകെ തുക = (n - 2) × 180°
ഇവിടെ 'n' എന്നത് ബഹുഭുജത്തിന്റെ വശങ്ങളുടെ എണ്ണമാണ്.
കണക്കുകൂട്ടൽ:
∵ എല്ലാ ആന്തരിക കോണുകളുടെയും ആകെ തുക = 2160°
⇒ (n - 2) × 180° = 2160°
⇒ n - 2 = 2160°/180°
⇒ n - 2 = 12
⇒ n = 12 + 2
⇒ n = 14
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