Ontario 10 Academic (MPM2D)
Applications of the Sine Law

## Interactive practice questions

Consider the given triangle.

a

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

b

Find the length of $c$c.

Round your answer to two decimal places.

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

#### 10D.T3.04

Solve problems involving the measures of sides and angles in acute triangles