Question
Download Solution PDFसमांतरभुज चौकोनाच्या दोन बाजूंची लांबी 3 सेमी आणि 10 सेमी आहे. समांतरभुज चौकोनाच्या कर्णांच्या वर्गांची बेरीज किती आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
समांतरभुज चौकोनाची पहिली बाजू = 3 सेमी
समांतरभुज चौकोनाची दुसरी बाजू = 10 सेमी
वापरलेली संकल्पना:
समांतरभुज चौकोनाच्या कर्णांच्या वर्गांची बेरीज त्याच्या बाजूंच्या वर्गांच्या बेरजेसमान असते
गणना:
समजा समांतरभुज चौकोन ABCD आहे,
AB = 3 सेमी
BC = 10 सेमी
CD = 3 सेमी
DA = 10 सेमी
संकल्पना वापरून,
कर्णांच्या वर्गांची बेरीज = (AB2 + BC2 + CD2 + DA2)
⇒ (32 + 102 + 32 + 102)
⇒ (9 + 100 + 9 + 100)
⇒ 218
∴ समांतरभुज चौकोनाच्या कर्णांच्या वर्गांची बेरीज 218 चौरस सेमी आहे
Last updated on Jul 21, 2025
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