New Zealand
Level 7 - NCEA Level 2

# Applications of the Sine Rule

## Interactive practice questions

Consider the given triangle.

a

First, find the value of $\angle BAC$BAC.

b

Find the length of $c$c.

Easy
Approx 3 minutes

Consider the following diagram:

Use the sine rule to prove that the area of $\triangle ABC$ABC is given by the equation $Area=\frac{a^2\sin B\sin C}{2\sin A}$Area=a2sinBsinC2sinA.

We want to prove that the area of a parallelogram is the product of two adjacent sides and the sine of the included angle.

### Outcomes

#### M7-4

Apply trigonometric relationships, including the sine and cosine rules, in two and three dimensions

#### 91259

Apply trigonometric relationships in solving problems