जर समभुज त्रिकोणाचे क्षेत्रफळ 16√3 चौरस सेमी असेल, तर त्या त्रिकोणाच्या प्रत्येक बाजूची लांबी असेल:

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RRB Technician Grade III Official Paper (Held On: 29 Dec, 2024 Shift 1)
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  1. 10 सेमी
  2. 8 सेमी
  3. 12 सेमी
  4. 5 सेमी

Answer (Detailed Solution Below)

Option 2 : 8 सेमी
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दिलेले आहे:

समभुज त्रिकोणाचे क्षेत्रफळ = 16√3 चौरस सेमी

वापरलेले सूत्र:

समभुज त्रिकोणाचे क्षेत्रफळ = (√3/4) × a2

येथे, a = बाजूची लांबी

गणना:

(√3/4) × a2 = 16√3

⇒ a2 = (16√3 × 4)/√3

⇒ a2 = 16 × 4

⇒ a2 = 64

⇒ a = √64

⇒ a = 8 सेमी

∴ पर्याय 2 योग्य आहे.

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