If you are given 3 sides of a triangle, explain how you would find all three angles?

Question

If you are given 3 sides of a triangle, explain how you would find all three angles?

Answer 1

OPTION #1

You can use the law of cosines to find one of the angles.

Then use the law of sines to find a second angle.

Finally using the law of sines to find the third angle.

 

 

OPTION #2

  You can use strictly the law of sines to get three equations

  with three unknown angles.  Much more challenging.

 

Option #3

 

  You can drop a height from one of the vertices

  and use the pythagorean theorem and trig.

   Most challenging.