Question
Download Solution PDFএকটি বর্গক্ষেত্রের কর্ণটি হ'ল 10√2 সেমি, তার পরিধিটি নির্ণয় করুন।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFউপরের চিত্র থেকে দেখা যায়,
কর্ণ AC = 10√2
AB = BC দিয়ে ABC একটি সমকোণী ত্রিভুজ গঠন করে।
পিথাগোরাসের উপপাদ্য দ্বারা,
AB2 + BC2 = AC2
2AB2= 100 × 2
AB2 = 100
AB = 10
বর্গক্ষেত্রের পরিধি = 4 AB = 40 সেমি
বিকল্প সমাধান:
যে কোন বর্গক্ষেত্রের বাহু হ'ল "a"
কর্ণ = a√2
অতএব, a√2 = 10√2
⇒ বাহু = a = 10
একটি বর্গক্ষেত্রের পরিধি = 4a
∴ একটি বর্গক্ষেত্রের পরিধি = 40 সেমি
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