In engineering setting out of structures, it is often the practice to break the ground area under operation into regular geometrical shapes/figures such as triangles and rectangles as well as irregular figures. In this chapter, once the student has grasped the concepts of angles in Chapter 2, they are now placed into a regular geometrical figure; a triangle. First, we start with a right-angle triangle in which one of the angles is 90° to build trigonometric relationships between the sides of the triangle and the respective angles. This enables the computation of missing angles and sides of the triangle as well as areas of the triangles. Once the student has mastered these skills, a general triangle and its related formulae are presented.

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Solution of Right Angled and General Triangles

  • John Walker,
  • Joseph Awange

摘要

In engineering setting out of structures, it is often the practice to break the ground area under operation into regular geometrical shapes/figures such as triangles and rectangles as well as irregular figures. In this chapter, once the student has grasped the concepts of angles in Chapter 2, they are now placed into a regular geometrical figure; a triangle. First, we start with a right-angle triangle in which one of the angles is 90° to build trigonometric relationships between the sides of the triangle and the respective angles. This enables the computation of missing angles and sides of the triangle as well as areas of the triangles. Once the student has mastered these skills, a general triangle and its related formulae are presented.