IPMAT Indore 2024 (MCQ) - The side AB of a triangle ABC is c. The median BD is of length k. If BDA = and < 90^, then the area of triangle ABC is | PYQs + Solutions

IPMAT Indore 2024

Geometry

Triangles

Hard

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

\dfrac{k^2 \sin \theta}{2} + k \sin \theta \sqrt{c^2 + k^2 \sin^2 \theta}

\dfrac{k^2 \sin 2\theta}{2} + k \sin \theta \sqrt{c^2 - k^2 \sin^2 \theta}

\dfrac{k^2 \cos 2\theta}{2} + k \sin \theta \sqrt{c^2 - k^2 \sin^2 \theta}

\dfrac{k^2 \cos \theta}{2} + k \sin \theta \sqrt{c^2 + k^2 \sin^2 \theta}

Correct Option: 2