Question
Download Solution PDFत्रिभुज ABC में, AB = 12 सेमी और AC = 10 सेमी, और ∠BAC = 60° है। भुजा BC की लंबाई का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
त्रिभुज ABC में, AB = 12 सेमी और AC = 10 सेमी और ∠BAC = 60° है।
प्रयुक्त अवधारणा:
कोसाइन के नियम के अनुसार, यदि a, b, और c त्रिभुज ΔABC की तीन भुजाएँ हैं और ∠C AC और AB के बीच का कोण है, तो a2 = b2 + c2 - 2bc × cos∠A
गणना:
अवधारणा के अनुसार,
BC2 = AB2 + AC2 - 2 × AB × AC × cos60°
⇒ BC2 = 122 + 102 - 2 × 12 × 10 × 1/2
⇒ BC2 = 124
⇒ BC ≈ 11.13
∴ BC की माप 11.13 सेमी है।
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