Trigonometry Question?

Question

In the triangle ABC, AB = 12 cm, angle BAC = 60◦ and angle ACB = 45◦. Find the exact length
of BC.

Answer 1

Step 1:

length of the is .

Angles are is  and is .

Find length.

The law of sines :

Draw the .

Observe the :

Substitute and in the law of sines.

Equate first and last terms.

Substitute and simplify.

Therefore, length of the is

Solution :

The length of the is .