Question
Download Solution PDFআয়তক্ষেত্রের ক্ষেত্রফল কত যার কর্ণ 17 সেমি এবং প্রস্থ 8 সেমি?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
আয়তক্ষেত্রের প্রস্থ = 8 সেমি
আয়তক্ষেত্রের কর্ণ = 17 সেমি
অনুসৃত সূত্র :
(কর্ণ)2 = (দৈর্ঘ্য)2 + (প্রস্থ)2
আয়তক্ষেত্রের ক্ষেত্রফল = দৈর্ঘ্য × প্রস্থ
গণনা:
(কর্ণ)2 = (দৈর্ঘ্য)2 + (প্রস্থ)2
⇒ (17)2 = (দৈর্ঘ্য)2 + (8)2
⇒ দৈর্ঘ্য = √(289 - 64)
⇒ দৈর্ঘ্য = √225
⇒ দৈর্ঘ্য = 15 সেমি
আয়তক্ষেত্রের ক্ষেত্রফল = দৈর্ঘ্য × প্রস্থ
⇒ 15 × 8
⇒ 120 সেমি2
∴ আয়তক্ষেত্রটির ক্ষেত্রফল 120 সেমি2
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