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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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In a triangle, difference of base angles is 60∘60^{\circ} and has a base of length 4 cm4 \mathrm{~cm} and area is equal to 12 cm212 \mathrm{~cm}^2, if angle opposite to base is θ\theta, then which of the following is correct? ( θ\theta is acute angle).
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Correct option: C
θ∈(π12,π6)\theta \in\left(\frac{\pi}{12}, \frac{\pi}{6}\right)
Option C (θ∈(π12,π6)\theta \in(\frac{\pi}{12}, \frac{\pi}{6})) is correct because the angle θ\theta opposite to the base is acute and falls within the specified interval after solving the trigonometric equations.

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