Question
Download Solution PDFত্রিভুজ ABC-তে, কোণ BAC এর সমদ্বিখণ্ডকটি D বিন্দুতে বাহু BC কে বিভক্ত করে। যদি AB = 10 সেমি, এবং AC = 14 সেমি হয়, তাহলে BD : BC কত?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
AB = 10 সেমি, এবং AC = 14 সেমি
অনুসৃত ধারণা:
একটি ত্রিভুজের কোণের সমদ্বিখণ্ডক বিপরীত বাহুটিকে ত্রিভুজের অপর দুটি বাহুর সমানুপাতিক ভাগে দুটি অংশে বিভক্ত করে।
গণনা:
ধারণা অনুযায়ী,
AB/AC = BD/DC
⇒ 10/14 = BD/DC
⇒ 5/7 = BD/DC
অতএব, BD : DC = 5 : 7
এখন, BC = 5 + 7
⇒ 12
সুতরাং, BD : BC = 5 : 12
∴ আবশ্যক উত্তর হল 5: 12।
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