Sine rules

Sine rules

The sine rule is used when we are given either

a)two angles and one side,

b) two sides and a non-included angle

Multiple Choice

In the diagram, ABC is a triangle. Find the length of BC and CA.

• BC= 6.40cm

  CA= 5.40

• BC=5.26cm

  CA=8.40cm

• BC=8.40am

  CA=5.26cm

Multiple Choice

In the diagram, EFG is a triangle. Calculate

 $\angle G$  and the length of FG.

•  $\angle G$  = 17.14 $\degree$  
  FG = 8cm

•  $\angle G$  =17.14 $\degree$  
  FG=7.93cm

Ambiguous case

To determine whether the ambiguous case occurs, just ask yourself 'could I swing the side the other way to also make a correct answer for the unknown side?"

Multiple Choice

Determine whether ambiguous case occurs?

• Yes

• No

Can swing the side 6.6cm without changing the angle and the sides given

Multiple Choice

Determine whether ambiguous case occurs?

• Yes

• No

No side can be swing without changing the side and angle given to find the unknown side.

Multiple Choice

Determine whether ambiguous case occurs?

• Yes

• No

No side can be swing without changing the side and angle given to find the unknown side.

Multiple Choice

Determine whether ambiguous case occurs?

• Yes

• No

No side can be swing without changing the side and angle given to find the unknown side.

Multiple Choice

Determine whether ambiguous case occurs?

• Yes

• No

Can swing the side 5.8 cm without changing the angle and the sides given