Posted by **Laurianne** on Tuesday, January 19, 2010 at 6:14pm.

When using the Law of Cosines, how do I know if two triangles exist?

- Trigonometry -
**bobpursley**, Tuesday, January 19, 2010 at 6:20pm
You question makes no sense to me.

- I do not understand -
**Damon**, Tuesday, January 19, 2010 at 6:21pm
If it is a triangle, the law of cosines work.

There are cases where no triangle can exist with the given lengths or angles. For example if the sum of the two shorter sides is less than the long side or if the three angles do not add up to 180 degrees.

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