IP2 U12 HOT Q3

IP2 U12 HOT Q3

IP 2

In triangle \(ABC\), \(a\), \(b\) and \(c\) are the opposite sides of the interior angles \(A\), \(B\) and \(C\), respectively.

It is given that \(c = 2\) and \(b = \sqrt{2}a\), show that the maximum area of triangle \(ABC\) is \(2\sqrt{2}\).

Hence find the exact value of \(a\) when the area of triangle is maximised.

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Answer:\(a=2\sqrt{3}\)

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