Question
Download Solution PDFএকটি রম্বসের একটি বাহু এবং দুটি কর্ণের মধ্যে একটির প্রতিটিরই দৈর্ঘ্য 6 সেমি। রম্বসের ক্ষেত্রফলটি খুঁজে বের করুন (বর্গসেমি-তে)।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFরম্বসের কর্ণগুলি হয় লম্ব দ্বিখন্ডক
মনে করুন ABCD একটি রম্বস এবং AC = 6 সেমি যার মধ্যবিন্দু O এবং বাহু AB = 6 সেমি
সুতরাং, ΔAOB তে,
⇒ AO2 + OB2 = AB2
⇒ (6/2)2 + OB2 = 62
⇒ 9 + OB2 = 36
⇒ OB2 = 27
⇒ OB = 3√3 সেমি
⇒ BD = 2 × OB = 6√3 সেমি
রম্বসের ক্ষেত্রফল = (1/2) × (রম্বসের কর্ণের গুণফল)
⇒ (1/2) × (6 × 6√3) = 18√3 বর্গসেমি
Last updated on Jun 2, 2025
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