Sides and opposite angles
- Author:
- Callum Marshall
- Topic:
- Angles
Sides and opposite angles
Using the diagram below you can explore the relationship between the sine of an angle and the length of the opposite side in a triangle.
Question 1
Set the radius at 1.
Divide the length of each of the sides, a, b and c by the value of the sine of the opposite angle A, B and C respectively. What do you notice?
Question 2
Set the radius at 2.
Again, divide the length of each of the sides a, b and c by the value of the sine of the opposite angles A, B and C respectively. What do you notice this time?
Question 3
- What conjecture can you make based on what you have seen so far.
- Test out your conjecture...
- What generalisation can you come to and how would you express it algebraically?