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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Application +4 | -1
Two sides of a triangle are 2 2  cm2\,\sqrt 2 \;\mathrm{cm} and 2 3   cm2\,\sqrt 3 \;\,\mathrm{cm} and the angle opposite to the shorter side of the two is π4\frac{\pi }{4}. The largest possible length of the third side is
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Correct option: A
(6+2)  cm\left( {\sqrt 6 + \sqrt 2 } \right)\;\mathrm{cm}
The correct answer is None of these because the expression simplifies to cos⁡ 11∘\cos \,11^\circ, which is not among the given options.

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