Question
Download Solution PDFएक वर्ग की विकर्ण 10√ 2 सेमी है, उसका परिमाप ज्ञात कीजिए?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFजैसा कि उपरोक्त आरेख में दर्शाया गया है,
विकर्ण AC = 10√2
अब ABC, AB = BC के साथ समकोण त्रिभुज बनाता है
पाइथागोरस प्रमेय द्वारा,
AB2 + BC2 = AC2
2AB2= 100 × 2
AB2 = 100
AB = 10
वर्ग का परिमाप = 4 AB = 40 सेमी
वैकल्पिक समाधान:
"a" भुजा वाले किसी भी वर्ग के लिए
विकर्ण = a√2
इसलिए, a√2 = 10√2
⇒ भुजा = a = 10
एक वर्ग का परिमाप = 4a
∴ एक वर्ग का परिमाप = 40 सेमी
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