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JEE Advance - Mathematics (1988 - No. 27)

If the angles of a triangle are $${30^ \circ }$$ and $${45^ \circ }$$ and the included side is $$\left( {\sqrt 3 + 1} \right)$$ cms, then the area of the triangle is ...............
$$\frac{\sqrt{3} + 1}{4}$$
$$\frac{\sqrt{3} + 1}{2}$$
$$\sqrt{3} + 1$$
$$2(\sqrt{3} + 1)$$
$$\frac{\sqrt{3}}{2}$$

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