Strength of Materials
The algebraic sum of the resolved parts of a number of forces in a given direction is equal to the resolved part of their resultant in the same direction. This is as per the principle of

balance of force
resolution of forces.
forces
independence of forces

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Strength of Materials
According to Lami's theorem

Three forces acting at a point can be represented by a triangle, each side being proportional to force
If three forces acting upon a particle are represented in magnitude and direction by the sides of a triangle, taken in order, they will be in equilibrium
Three forces acting at a point will be in equilibrium
If three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two

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