Triangles in 3D!

Geometry Level 3

O,X,Y,ZO,X,Y,Z are four points on a 3D Cartesian space, where OO is the origin, XX a point on the xx-axis, YY a point on the yy-axis, and ZZ a point on the zz-axis.

Now, the area of OXY\triangle OXY is given by aa, the area of OYZ\triangle OYZ by bb, and the area of OXZ\triangle OXZ by cc.

Find the area of XYZ\triangle XYZ in terms of a,b,ca,b,c.

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