Question
Download Solution PDFএকটি রম্বসের একটি বাহুর দৈর্ঘ্য হল 37 সেমি এবং এটির ক্ষেত্রফল হল 840 সেমি2। এটির কর্ণ গুলির দৈর্ঘ্যের সমষ্টি নির্ণয় করুন।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFধরি P এবং Q হল রম্বসের দুটি কর্ণ,
রম্বসের ক্ষেত্রফল = দুটি কর্ণের গুণফল/2,
⇒ 840 = P × Q /2,
⇒ P × Q = 1680,
পিথাগোরাসের উপপাদ্যটিকে প্রয়োগ করে আমরা পাই,
⇒ (P/2)2 + (Q/2)2 = 372
⇒ P2 + Q2 = 5476
পূর্ণবর্গের সূত্রটিকে প্রয়োগ করে আমরা পাই,
⇒ (P + Q)2 = P2 + 2PQ + Q2
⇒ (P + Q)2 = 5476 + 2 × 1680
⇒ P + Q = 94
সুতরাং, বিকল্প 4 হল সঠিক।
Last updated on Jun 2, 2025
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