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Answer the Following Questions in One Word Or One Sentence Or as per Exact Requirement of the Question. Find the Area of the Triangle ∆Abc in Which a = 1, B = 2 and ∠ C = 60 º

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Question

Answer  the following questions in one word or one sentence or as per exact requirement of the question. 

Find the area of the triangle ∆ABC in which a = 1, b = 2 and \[\angle C = 60º\] 


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Solution

In ∆ABC, a = 1, b = 2 and \[\angle C = 60°\] 

∴ Area of the ∆ABC  \[= \frac{1}{2}ab\sin C\]
\[ = \frac{1}{2} \times 1 \times 2 \times \sin60°\]
\[ = \frac{1}{2} \times 2 \times \frac{\sqrt{3}}{2}\]
\[ = \frac{\sqrt{3}}{2} \text{ square units }\]  

 

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Sine and Cosine Formulae and Their Applications
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Chapter 10: Sine and cosine formulae and their applications - Exercise 10.3 [Page 26]

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R.D. Sharma Mathematics [English] Class 11
Chapter 10 Sine and cosine formulae and their applications
Exercise 10.3 | Q 1 | Page 26

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