# Law of Sines: How Many Triangles?

- Author:
- Melanie Gerling, Ken Schwartz

Once two sides of a triangle are constructed, four options exist for the third side...

## Gerling Edit

Select one of the Cases by checking the box (more than one case can be selected at a time).
For which case(s) will the third side create no triangle? For each of these cases, write an inequality and/or equation with the names of the sides that describes the requirement(s) for the length of the third side.
For which case(s) will the third side create one triangle? For each of these cases, write an inequality and/or equation with the names of the sides that describes the requirement(s) for the length of the third side.
For which case(s) will the third side create two triangles? For each of these cases, write an inequality and/or equation with the names of the sides that describes the requirement(s) for the length of the third side.