चौकोनाचे कर्ण

10√2 सेंमी आहे, त्याची परिमिती शोधा?

  1. 160 सेमी
  2. 80 सेमी
  3. 20 सेमी
  4. 40 सेमी

Answer (Detailed Solution Below)

Option 4 : 40 सेमी
Free
RRB Group D Full Test 1
100 Qs. 100 Marks 90 Mins

Detailed Solution

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वरील आकृतीवरून पाहिल्याप्रमाणे,

कर्ण AC = 10√2

आता ABC, AB = BC सह एक काटकोन त्रिकोण बनवते 

पायथागोरस प्रमेयानुसार,

AB2 + BC2 = AC2

2AB2 = 100 × 2

AB2 = 100

AB = 10

चौकोनाची परिमिती  = 4 AB = 40 सेमी

वैकल्पिक समाधान:

 "a" बाजूच्या कोणत्याही चौकोनासाठी

कर्ण = a√2

म्हणून, a√2 = 10√2

⇒ बाजू = a = 10 

चौकोनाची परिमिती = 4a 

चौकोनाची परिमिती = 40 सेमी

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