# 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?**