Question
Download Solution PDFएक समांतर चतुर्भुज की दो भुजाओं की लंबाई 3 सेमी और 10 सेमी है। समांतर चतुर्भुज के विकर्णों के वर्गों का योग क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
समांतर चतुर्भुज की पहली भुजा = 3 सेमी
समांतर चतुर्भुज की दूसरी भुजा = 10 सेमी
प्रयुक्त अवधारणा:
एक समांतर चतुर्भुज के विकर्णों के वर्गों का योग इसकी भुजाओं के वर्गों के योग के बराबर होती है
गणना:
मान कि समांतर चतुर्भुज ABCD है,
AB = 3 सेमी
BC = 10 सेमी
CD = 3 सेमी
DA = 10 cm
अवधारणा का उपयोग करने पर,
विकर्णों के वर्गों का योग = (AB2 + BC2 + CD2 + DA2)
⇒ (32 + 102 + 32 + 102)
⇒ (9 + 100 + 9 + 100)
⇒ 218
∴ समांतर चतुर्भुज के विकर्णों के वर्गों का योग 218 सेमी2 है।
Last updated on Jun 13, 2025
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