Question
Download Solution PDFరాంబస్ యొక్క ఒక భుజం పొడవు 41 సెం.మీ మరియు దాని వైశాల్యం 720 సెం.మీ2. దాని కర్ణాల పొడవుల మొత్తం ఎంత?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFరాంబస్ వైశాల్యం = 1/2 × కర్ణాల లబ్ధం
⇒ 720 = 1/2 × కర్ణాల లబ్ధం
⇒ కర్ణాల లబ్ధం = 1440
(రాంబస్ భుజం)2 = (ఒక కర్ణంలో సగం)2 + (మరొక కర్ణంలో సగం)2
⇒ (ఒక కర్ణం)2 + (మరొక కర్ణం)2 = 41 × 41 × 4
(రెండు కర్ణాల మొత్తం)2 = (ఒక కర్ణం)2 + (మరొక కర్ణం)2 + 2 × కర్ణాల లబ్ధం
⇒ (రెండు కర్ణాల మొత్తం)2 = 6724 + 2880 = 9604
∴ రెండు కర్ణాల మొత్తం = 98సెం.మీ
Last updated on Jul 22, 2025
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