Hong Kong

Stage 4 - Stage 5

Consider the given triangle.

a

First, find the value of $\angle BAC$∠`B``A``C`.

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 $\triangle ABC$△`A``B``C` is given by the equation $Area=\frac{a^2\sin B\sin C}{2\sin A}$`A``r``e``a`=`a`2`s``i``n``B``s``i``n``C`2`s``i``n``A`.

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

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