Strength of Materials
A number of forces acting at a point will be in equilibrium if

Sum of resolved parts in any two perpendicular directions are both zero
Two resolved parts in two directions at right angles are equal
Their total sum is zero
All of them are inclined equally

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Strength of Materials
According to Lami's theorem

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
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

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