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 $$ABC$$.

×