Question
Download Solution PDFABC একটি ত্রিভুজ এবং D হল BC বাহুর একটি বিন্দু। যদি BC = 16 সেমি, BD = 11 সেমি এবং ∠ADC = ∠BAC হয়, তাহলে AC এর দৈর্ঘ্য সমান:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
BC = 16 সেমি, BD = 11 সেমি এবং ∠ADC = ∠BAC
ধারণা:
যদি দুটি কোণ এবং দুটি ত্রিভুজের একটি বাহু সমান হয়, তাহলে উভয় ত্রিভুজ AA বৈশিষ্ট্য দ্বারা অনুরূপ হবে।
গণনা:
ΔABC এবং ΔDAC-তে
⇒ ∠ADC = ∠BAC
⇒ ∠C = উভয় ত্রিভুজের সাধারণ কোণ
অতএব, ΔABC এবং ΔDAC অনুরূপ ত্রিভুজ।
⇒ \({BC\over AC}={AC\over DC}\)
⇒ AC2 = BC × DC
⇒ AC2 = 16 × 5 = 80
⇒ AC = 4√5
∴ নির্ণেয় ফলাফল হবে 4√5
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