Introduction
Right-angled triangles (that is triangles where one of the angles is ) are the easiest topic for introducing trigonometry. Since the sum of the three angles in a triangle is it follows that in a right-angled triangle there are no obtuse angles (i.e. angles greater than ). In this Section we study many of the properties associated with right-angled triangles.
Prerequisites
- have a basic knowledge of the geometry of triangles
Learning Outcomes
- define trigonometric functions both in right-angled triangles and more generally
- express angles in degrees
- calculate all the angles and sides in any right-angled triangle given certain information
Contents
1 Right-angled triangles2 Engineering Example 1
2.1 Noise reduction by sound barriers
3 Engineering Example 2
3.1 Horizon distance
3.2 Inverse trigonometric functions (a first look)
4 Solving right-angled triangles
5 Engineering Example 3
5.1 Vintage car brake pedal mechanism