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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Application +4 | -1
If the angles of a triangle are 30∘30^\circ and 45∘45^\circ and the included side is (3+1)  cms\left( {\sqrt 3 + 1} \right)\,\,\mathrm{cms}, then the area of the triangle is
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Correct option: A
13−1\frac{1}{{\sqrt 3 - 1}}
Option A is correct because using the sine rule and the formula for the area of a triangle, we can calculate the area to be 13−1\frac{1}{{\sqrt 3 - 1}}.

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