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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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In a △ABC,A=2π3,b−c=33 cm\triangle A B C, A=\frac{2 \pi}{3}, b-c=3 \sqrt{3} \mathrm{~cm} and ar⁡(△ABC)=932 cm2\operatorname{ar}(\triangle A B C)=\frac{9 \sqrt{3}}{2} \mathrm{~cm}^2. Then, aa is
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Correct option: B
9 cm9 \mathrm{~cm}
Option B (9 cm9 \text{{ cm}}) is correct because using the area and angle A, we can find bc, and with b-c, we can find a using the cosine rule.

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