Area/length triangle

Question

Bc=6

angle c is 60 degrees

What's length of ab? Length of ac? What's angle a?

Answer 1

Step 1:

measures angle is and side .

Draw the diagram of .

Observe the diagram,

Here, side lengths are

Consider the right angle traingle, it can be shown .

Sine rule is .

Substitute and in the sine rule.

Find the length of angle .

Substitute in .

Length of angle is .

Step 2:

Find length of .

Substitute in the sine rule.

Consider,

Side length of  is .

Find length of .

Consider,

Side length of is .

Solution :

Length of angle is .

Side lengths are .