Projected Incircle

Geometry Level 5

A plane $$a$$ has an equation: $\frac{x}{3} + \frac{y}{4} + \frac{z}{5}=1$ A triangle has as its vertices points of intersection of the plane $$a$$ with the axes of the coordinate system. Incircle of that triangle is projected onto the $$XY$$ plane and the projected shape has an area $$A$$. Give answer as $\lfloor A \times 10000 \rfloor$

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