The side AB of a triangle ABC is c. The median BD is of leng... — Quantitative Ability 2024

Question 418 Quantitative Ability 2024 Medium MCQ +4.00 marks · -1.00 negative

The side AB of a triangle ABC is c. The median BD is of length k. If \(\angle BDA = \theta < 90^\circ\), then the area of triangle ABC is

A. \(\frac{k^2\cos 2\theta}{2} + k\sin\theta\sqrt{c^2 - k^2\cos^2\theta}\) B. \(\frac{k^2\sin 2\theta}{2} + k\sin\theta\sqrt{c^2 - k^2\sin^2\theta}\) C. \(\frac{k^2\cos\theta}{4} - k\sin\theta\sqrt{c^2 + k^2\sin^2\theta}\) D. \(\frac{k^2\cos 2\theta}{4} + k\sin\theta\sqrt{c^2 - k^2\sin^2\theta}\)

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