Yes, the law of sines can be used in a right triangle. The law applies to any arbitrary triangle.
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.
If three vectors form a triangle , their vector sum is zero.
You use Lami's theorem wen you triangle of forces to calculate the sides of the triangle or the angles opposite to a side.
Yes
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.
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.
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
An isosceles triangle is a shape that has at least 2 sides that are the same length. This forces the angles to be acute.
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.
law of vectors also include the parallellogram law .
If three vectors form a triangle , their vector sum is zero.
A law which states that if a body is acted upon by two vectors represented by two sides of a triangle taken in order, the resultant vector is represented by the third side of the triangle.
Equal and opposite forces was Newton's recognition of equal anti-parallel forces, or the sum of the forces is zero in Equilibrium.
From Toluwalope Oluyipe:Triangle of Forces is a triangle whose sides represent the magnitudes and directions of 3 forces in equilibrium whose resultant is zero and which are therefore in equilibriumA triangle of forces in a representation of three force vectors . The length of the sides indicate the magnitude of respective forces and their direction indicate the direction of application of force . Since the triangle is a closed figure , it means the resultant of the three vectors constituting the triangle in 0.