Triangle side/length

Question

Ac=2

angle a is 60 degrees what's side length of ab? Side length of bc? What's the angle in degrees?

Answer 1

Step 1:

measures angle is and side .

Draw the diagram of .

Observe the diagram,

Consider the right angle triangle, 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 .

Consider,

Side length of  is .

Find length of .

Substitute in the sine rule.

Consider,

Side length of is .

Solution :

Length of angle is .

Sides of lengths are .