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1. ∆ABC

A. $8 \sqrt{3}$
B. $8 \sqrt{3}$
C. $8 \sqrt{3}$
D. $8 \sqrt{3}$

Answer: Option B

Explanation:

∠ A + ∠ B + ∠ C = 180 ° \Rightarrow 45 ° + 75 ° + ∠ B = 180 ° \Rightarrow 120 ° + ∠ B = 180 ° ∠ B = 60 ° অতএব, ক্ষেত্রফল - \frac{1}{2} \times AB \times BC \times sinθ = \frac{1}{2} \times 6 \times 8 \times \sin 60 ° = \frac{1}{2} \times 6 \times 8 \times \frac{\sqrt{3}}{2} = 12 \sqrt{3}

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