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Three forces in equilibrium can be represented in magnitude and direction by the three sides of a triangle taken in order. If a number of forces acting simultaneously on a particle be represented in magnitude and direction by the sides of a polygon taken in order, their resultant may be represented in magnitude and direction by the closing side of the polygon taken in opposite order.

Q: Define triangle law of forces and polygon law of forces?

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" If a number of forces acting at a point be represented in magnitude ad direction by the sides of a polygon in order, then the resultant of all these forces may be represented in magnitude and direction by the closing side of the polygon taken in opposite order "

All the concurrent forces acting at a point can be represented by a polygon's sides closing with the resultant force equal in magnitude and opposite in direction.

if several COPLANAR FORCES are acting at a point simultaneously such that each one of them can be represented in direction and magnitude by a side of a polygon, taken in order, then the resultant is given by the closing side in the reverse order

Because, this theorem comes from the law of sines which is completely a triangle law and the law of sines can not be applied on other polygons.

The parallelogram law of forces says that the sum of two forces is equivalent to the parallelogram formed by placing the first vector as starting from the origin and the second starting from the head of the first. This can be proven through trigonometric derivation of triangle angles and sides.

Yes, the law of sines can be used in a right triangle. The law applies to any arbitrary triangle.

Yes, law can be defined within law. The law states rules and regulations, thus defining itself. Take a person for example. You can define who they are by what they project and their personality.

If 2 forces acting at a point are represented by 2 sides of a triangle taken in order, then the 3rd side taken in opposite order,represents the resultant

The load distribution is distributed over a certain width vs depth ratio:- as the aspect ration is changed the law of diminishing returns kicks in ie wider the triangle with shorter height will result in excessive tensile force on the bottom chord and higher compressive forces on the two acute sides. It is theoretically considered that the Isosceles triangle best makes use of this optimisation of tension and compressive forces in structures.

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Segregation that is imposed by a law !!!!!!!!!!!!!