When finding the area of a segment you will often need to find the area of a triangle given two sides and an included angle when the angle is given in degrees or radians. This tutorial shows you how.
Proof of the formula
Finding the length of a side of a non right angled triangle
In this tutorial I show you how to find a length of one side of a non-right angled triangle by using the Sine Rule.
You can do this if you are given the opposite angle and another side and the opposite angle.
Finding an angle of a non right angled triangle
In this tutorial I show you how to find an angle of a non-right angled triangle by using the Sine Rule.
You can do this if you are given the opposite side, another side and the opposite angle.
The Ambiguous Case
Finding the length of a side of a non right angled triangle
In this tutorial I show you how to find a length of a side of a non right-angled triangle by using the Cosine Rule.
You can do this if you are given the opposite angle and the two other sides.
Finding an angle of a non right angled triangle
In this tutorial I show you how to find an angle of a non right-angled triangle using the Cosine Rule.
You can do this if you are given the lengths of all 3 sides.
Here you will find an application of the sine rule and cosine rule in a typical bearings question.