एक त्रिभुज की प्रत्येक भुजा की लंबाई 12 सेमी है। त्रिभुज की परित्रिज्या की लंबाई क्या होगी?

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 1)
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  1. 8√3 सेमी
  2. 2√3 सेमी
  3. 6√3 सेमी
  4. 4√3 सेमी

Answer (Detailed Solution Below)

Option 4 : 4√3 सेमी
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Detailed Solution

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दिया गया है:

एक समबाहु त्रिभुज की भुजा 12 सेमी है।

प्रयुक्त सूत्र:

एक समबाहु त्रिभुज की परित्रिज्या (R) का सूत्र R = (a/√3) है, जहाँ समबाहु त्रिभुज की एक भुजा की लंबाई है।

गणना:

समबाहु त्रिभुज की भुजा की लंबाई 12 सेमी दी गई है।

परित्रिज्या के सूत्र का उपयोग करके, हमें प्राप्त होता है:

R = (a/√3)

R = (12/√3)

R = 4√3 सेमी

अत:, समबाहु त्रिभुज के परिवृत्त की त्रिज्या 4√3 सेमी है।

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