# Geometry Problem 1

Geometry Level 3

In triangle $$ABC$$, $$\angle BAC = 45^\circ$$. $$D$$ is a point on $$BC$$ such that $$AD$$ is perpendicular to $$BC$$. If $$BD = 3$$ and $$DC = 2$$, and the area of the triangle $$ABC$$ is $$x$$, find the value of $$x$$.

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