You can still work out the total weight and the location of the center of mass (in 2D) from the strain on the three landing gear struts. It's a linear system o

You can still work out the total weight and the location of the center of mass (in 2D) from the strain on the three landing gear struts. It's a linear system of 3 equations and 3 unknowns. As another commenter has pointed out, there may be an issue with wind, as the whole point of the airplane is that it efficiently converts a relative air velocity into an apparent change in weight.