Question
Download Solution PDFযদি Δ ABC~Δ FDE যেখানে AB = 9 সেমি, AC = 11 সেমি, DF = 16 সেমি এবং DE = 12 সেমি, তাহলে BC এর দৈর্ঘ্য হল:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
AB = 9 সেমি, AC = 11 সেমি, DF = 16 সেমি এবং DE = 12 সেমি
অনুসৃত ধারণা:
যখন দুটি ত্রিভুজ অনুরূপ হয়, তখন তাদের সংশ্লিষ্ট কোণগুলি সমান হয় এবং তাদের সংশ্লিষ্ট বাহুগুলি সমানুপাতিক হয়।
গণনা:
ΔABC ~ ΔFDE হিসাবে
AB/DF = BC/DE = AC/FE
অতএব,
AB/DF = BC/DE
⇒ 9/16 = BC/12
⇒ BC = (9 × 12)/16
⇒ BC = 27/4
⇒ BC = \(6\frac{3}{4}\) সেমি
∴ BC এর দৈর্ঘ্য হল \(6\frac{3}{4}\) সেমি।
Last updated on Jun 13, 2025
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