Pythagoras Theorem?

Geometry Level 3

\(ABC\) is a right angled triangle with \(\angle B=90^\circ\). \(M\) is the midpoint of \(AC\) and \(BM=\sqrt{117}\). Sum of the lengths of the other two sides \(AB\) and \(BC\) is 30. Find the area of the triangle \(ABC\).

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