यदि एक समबाहु त्रिभुज की भुजा 8 सेमी है, तो त्रिभुज का क्षेत्रफल (दो दशमलव स्थानों तक सही) ज्ञात कीजिए।

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SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 4)
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  1. 27.17 सेमी2
  2. 27.27 सेमी2
  3. 27.71 सेमी2
  4. 27.72 सेमी2

Answer (Detailed Solution Below)

Option 3 : 27.71 सेमी2
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दिया गया है:

समबाहु त्रिभुज की भुजा की लंबाई = 8 सेमी

सूत्र:

एक समबाहु त्रिभुज के क्षेत्रफल की गणना करने का सूत्र इस प्रकार दिया गया है:

क्षेत्रफल = (√3 / 4) × (भुजा लंबाई)2

हल:

सूत्र में 8 सेमी की दी गई भुजा की लंबाई को प्रतिस्थापित करके, हम समबाहु त्रिभुज के क्षेत्रफल की गणना कर सकते हैं।

क्षेत्रफल = (√3/4) × (8 सेमी)2

= (√3/4) × 64 सेमी2

= 16√3 सेमी2

≈ 27.71 सेमी2

इसलिए, समबाहु त्रिभुज का क्षेत्रफल लगभग 27.71 सेमी2 (दो दशमलव स्थानों तक सही) है।

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