Geometry Level 5

Suppose $$T$$ is a triangle sitting (stationary) in $$\textbf{R}^{3}$$.

When $$T$$ is projected orthogonally onto the $$xy$$-, $$xz$$- and $$yz$$-planes, the respective areas of these projections, ("shadows", if you will), in these planes are $$2, 6$$ and $$9$$ units$$^{2}$$.

What is the area of $$T$$, in units$$^{2}$$?

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