Why is ssa called the ambiguous case

Teaching this particular topic in the past has created numerous headaches for both me and my students. For those of you who need a reminder, the 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. These possibilities are summarized in the diagrams below:. You can't even draw it or whether it's two different triangles. So that's why we call the ambiguous case. Why is the term congruence transformation used to refer to a rigid motion? Fill in each blank with the appropriate word or phrase.

Carefully reread the… Identify the term that does not belong with the others. Explain your reasoni… The labeling in the figure below is the convention we will follow in this ex… Why is the method for solving systems that is discussed in this section call… Problem How is the sine function used to fi nd the area o….

View Full Video Already have an account? Sheryl E. Answer SSA is a triangle in which two sides and an angle opposite one of them are given. View Answer. More Answers Linh V. Precalculus Chapter 6 Additional Topics in Trigonometry. Section 1 The Law of Sines. Discussion You must be signed in to discuss. An interesting problem arises when two sides and an angle opposite one of them are known. This is called the ambiguous case.

A unique triangle is not always determined. The possible solutions depend on whether the given angle is acute or obtuse. Working with the third option of SSA , however, leaves the door open for several different situations and solutions to occur.

Ambiguous means open to two or more interpretations. SSA : If two sides and the non-included angle are given, three situations may occur. First we know that this triangle is a candidate for the ambiguous case since we are given two sides and an angle not in between them.

Law of Sines-- Ambiguous Case For those of you who need a reminder, the 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. Determine Variables. Create a list of all meaningful values to consider when evaluating the problem. Weight Variables. Have each stakeholder including yourself put a weight on each variable privately. How do you solve ambiguous problems?

Determine Variables. Create a list of all meaningful values to consider when evaluating the problem. Weight Variables. Have each stakeholder including yourself put a weight on each variable privately.

Collect Data. Visualize Data. Discuss quantified results. Question of the Day. How do you solve SSA triangles?