एक समबाहु त्रिभुज की भुजा 24 सेमी है। इस समबाहु त्रिभुज के अंत:वृत्त की त्रिज्या क्या होगी?

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 3)
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  1. 6√2 सेमी
  2. 12 सेमी
  3. 4√3 सेमी
  4. 3 सेमी

Answer (Detailed Solution Below)

Option 3 : 4√3 सेमी
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दिया गया है:

एक समबाहु त्रिभुज की भुजा 24 सेमी है।

प्रयुक्त सूत्र:

एक समबाहु त्रिभुज की अंतःत्रिज्या (त्रिभुज की भुजा)/2√3 है।

गणना:

अवधारणा के अनुसार,

अंतःत्रिज्या = 24/2√3

⇒ 12/√3

⇒ गुणा √3

⇒ (12*√3)/(√3*√3)

⇒ 4√3 सेमी

∴ इस समबाहु त्रिभुज के अन्तःवृत्त वृत्त की त्रिज्या 4√3 सेमी है।

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