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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Application +4 | -1
In a ΔABC\Delta ABC, if 2s=a+b+c2s = a + b + c and (s−b)(s−c)=x  sin⁡2A2\left( {s - b} \right)\left( {s - c} \right) = x\;{\sin ^2}\frac{A}{2}, then the value of xx is
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Correct option: A
bcbc
Option A (bcbc) is correct because by using the formula for sin⁡A2\sin \frac{A}{2} and comparing it with the given equation, we find that x=bcx = bc.

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