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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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If a,ba, b and cc are the sides of a triangle such that b⋅c=λ2b \cdot c=\lambda^2, for some positive λ\lambda, then
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Correct option: C
a≥2λsin⁡A2a \geq 2 \lambda \sin \frac{A}{2}
Option C (a≥2λsin⁡A2a \geq 2 \lambda \sin \frac{A}{2}) is correct because it is derived from the AM-GM inequality and the sine rule applied to the triangle.

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