How do you solve the following triangle using the law of cosines? a=3.7, b=5.6, c=9.8.Does this triangle have no solution? I obtained a cosine for angle gamma (c side) of less than -1.
You are correct -- there is no solution.
The triangle inequality theorem -- two sides of a triangle sum to more than the third side. Here 3.7+5.6=9.3<9.8 which is not a triangle.
Using the Law of Cosines to find angle C we get:
`cosC=-1.2304563668` which is not possible.