Question
Download Solution PDFएक अष्टभुज के विकर्णों की संख्या क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा :
एक बहुभुज के कोणीय बिन्दुओं को जोड़कर बनाये जाने वाले विकर्णों की संख्या इस प्रकार है:
\({\;^n}{C_2} - n = \frac{{n \times \left( {n - 3} \right)}}{2}\)
गणना:
दिया है: बहुभुज एक अष्टभुज है ⇒ दिए गए बहुभुज के विकर्णों की संख्या n = 8.
जैसा की हम जानते हैं कि एक बहुभुज के कोणीय बिन्दुओं को जोड़कर बनाये जाने वाले विकर्णों की संख्या इस प्रकार है\({\;^n}{C_2} - n = \frac{{n \times \left( {n - 3} \right)}}{2}\)
⇒ \({\;^8}{C_2} - 8 = \frac{{8 \times 5}}{2} = 20\)Last updated on Jun 18, 2025
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