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.
Concurrent coplanar forces have their lines of action intersecting at a common point, allowing them to be resolved using the parallelogram law of forces. Non-concurrent coplanar forces have their lines of action not intersecting at a common point, requiring the use of the triangle law of forces for resolution.
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
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.
An isosceles triangle is a shape that has at least 2 sides that are the same length. This forces the angles to be acute.
law of vectors also include the parallellogram law .
If three vectors form a triangle , their vector sum is zero.
The triangle law states that if two vectors are represented as two sides of a triangle, then the resultant of the vectors is represented by the third side of the triangle, drawn from the initial point of the first vector to the terminal point of the second vector. It is used to calculate the resultant of two vectors by parallelogram law.
You use Lami's theorem wen you triangle of forces to calculate the sides of the triangle or the angles opposite to a side.