Question
Download Solution PDFరాంబస్ యొక్క ఒక భుజం పొడవు 37 సెం.మీ. మరియు దాని వైశాల్యం 840 సెం.మీ2. అయితే దాని కర్ణాల పొడవుల మొత్తాన్ని కనుగొనండి.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFరాంబస్ వైశాల్యం = రెండు వికర్ణాల లబ్ధం/ 2,
⇒ 840 = P × Q /2,
⇒ P × Q = 1680,
పైథాగరియన్ సిద్ధాంతాన్ని ఉపయోగించి మనకు లభిస్తుంది,
⇒ (P/2) 2 + (Q/2) 2 = 37 2
⇒ P 2 + Q 2 = 1369 ×
⇒ P 2 + Q 2 = 5476
పరిపూర్ణ చతురస్ర సూత్రాన్ని ఉపయోగించి మనకు లభిస్తుంది,
⇒ (P + Q) 2 = P2 + 2PQ + Q2
⇒ (P + Q)2 = 5476 + 2 × 1680
⇒ P + Q = 94
కాబట్టి ఎంపిక 4 సరైనది.
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