Question
Download Solution PDFत्रिभुज ABC में, ∠A = 60°, AB = 6 सेमी और AC = 4 सेमी। BC का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
त्रिभुज ABC में,
∠A = 60º
AB = 6 सेमी
AC = 4 सेमी
प्रयुक्त सूत्र:
कोज्या नियम का उपयोग करने पर:
BC2 = AB2 + AC2 - 2 × AB × AC × cos(∠A)
गणना:
मानों को प्रतिस्थापित करें:
AB = 6, AC = 4, cos(60º) = 1/2
⇒ BC2 = 62 + 42 - 2 × 6 × 4 × (1/2)
⇒ BC2 = 36 + 16 - 24
⇒ BC2 = 28
⇒ BC = √28
⇒ BC = √(4 × 7)
⇒ BC = 2√7
⇒ BC = (2/√7) सेमी
BC की सही लंबाई 2√7 सेमी है।
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