# What is the ambiguous case of the law of sines?

##### 1 Answer

Apr 2, 2018

As detailed below.

#### Explanation:

Ambiguous case occurs when one uses the law of sines to determine missing measures of a triangle when given two sides and an angle opposite one of those angles (SSA).

In this ambiguous case, three possible situations can occur: 1) no triangle with the given information exists, 2) one such triangle exists, or 3) two distinct triangles may be formed that satisfy the given conditions.