is a triangle, where , cm, and cm.
Determine all the possible solutions of the triangle if it exists.
The sine rule states that the lengths of the sides of a triangle are proportional to the sines of the opposite angles. Assume that triangle exists, and use the sine rule in an attempt to calculate the measure of as follows:
Since must be less than or equal to 1, the assumption that triangle exists is incorrect. The triangle doesn't exist.