# Geometry

Geometry Level 3

In a right angle triangle $$ABC$$, angle $$B$$ is $$90^\circ$$. points $$D, E$$ and $$F$$ lies on the sides $$AB, AC$$ and $$BC$$ such that $$BDEF$$ is a square. If $$AE = 7.5\text{ cm}$$ and $$AC = 18\text{ cm}$$, what is the area of triangle $$ABC$$?

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