Question
Download Solution PDFত্রিভুজ ABC-এর মধ্যমা AD বর্ধিত করা হলো এবং তার উপর লম্ব CF টানা হলো। BE হলো AD-এর উপর লম্ব। যদি BC = 34 cm এবং DF = 8 cm হয়, তাহলে BE-এর দৈর্ঘ্য (cm এ) কত?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
BC = 34 cm
DF = 8 cm
ব্যবহৃত সূত্র:
একটি ত্রিভুজে, মধ্যমা বাহুকে সমদ্বিখণ্ডিত করে।
গণনা:
প্রদত্ত BC = 34 cm
ত্রিভুজ BED এবং CDF তে
BD = CD (কারণ AD মধ্যমা)
∠E = ∠F
∠BDE = ∠CDF (বিপ্রতীপ কোণ)
অতএব ত্রিভুজ BED এবং CDF সর্বসম
অতএব, BE = CF
ত্রিভুজ BED তে:
(BD)2 = (BE)2 + (ED)2
⇒ (17)2 = (BE)2 + (8)2
⇒ 289 = 64 + (BE)2
⇒ (BE)2 = 289 - 64
⇒ BE =
⇒ BE = 15 cm
অতএব, BE এর দৈর্ঘ্য 15 cm।
Last updated on Jul 15, 2025
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