Length/angle triangle

Question

Ac=2

90 degree angle is at b

angle a is 60 degrees

 

What is side length of ab? What's side length of bc? What's angle c?

Answer 1

Step 1:

measures angle is and side .

Draw the diagram of .

Observe the diagram,

Here, side lengths are

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 .

Consider,

Side length of  is .

Find length of .

Substitute in the sine rule.

Consider,

Side length of is .

Solution :

Length of angle is .

Side lengths are .