Area of a 3-D triangle in terms of its projections on 3 Cartesian planes?

Geometry Level pending

Suppose a triangle \(ABC\) with points \(A(x_1, y_1, z_1)\), \(B(x_2,y_2,z_2)\) and \(C(x_3,y_3,z_3)\). Projection of this \(\triangle ABC\) on \(xy\)-plane is of area \(A_1\). Projection on \(yx\)-plane is of area \(A_2\) and projection at \(zx\)-plane is of area \(A_3\). What is the area of \(\triangle ABC\) in terms of \(A_1\), \(A_2\), and \(A_3\)?

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