Question
Download Solution PDFΔDEF এ, DE = 9 সেমি, EF = 12 সেমি এবং DF = 7 সেমি। যদি ∠EDF-এর কোণ দ্বিখণ্ডক DO হয়, এবং O বিন্দুতে EF-এর সাথে মিলিত হয়, তাহলে OF-এর দৈর্ঘ্য নির্ণয় করুন।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
DE = 9 , EF = 12 সেমি, এবং DF = 7 সেমি
DO হল ∠EDF-এর কোণ দ্বিখণ্ডক।
অনুসৃত ধারণা:
একটি ত্রিভুজে, যদি ∠BAC-এর কোণ দ্বিখণ্ডক AD হয়, তাহলে বিপরীত বাহু BC-কে D বিন্দুতে ছেদ করে
কোণ দ্বিখণ্ডিত উপপাদ্য অনুযায়ী,
AB/AC = BD/CD
গণনা:
DE = 9 , EF = 12 সেমি, এবং DF = 7 সেমি
DO হল ∠EDF-এর কোণ দ্বিখণ্ডক।
কোণ দ্বিখণ্ডিত উপপাদ্য অনুযায়ী,
DE/DF = EO/OF
⇒ 9/7 = (EF - OF)/OF
⇒ 9/7 = (12 - OF)/OF
⇒ 9 × OF = 84 - 7 × OF
⇒ 16 × OF = 84
⇒ OF = 84/16
⇒ OF = 5.25 সেমি
∴ OF এর মান হল 5.25 সেমি।
Last updated on Jul 19, 2025
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