Why is ssa ambiguous

How do you know if it's an ambiguous case? How do you tell if there is two triangles? What is a AAS triangle? What law do you use when given three sides? Can we also use the Law of Cosines to solve the ambiguous case where there is no solution? How would you know when a triangle has no solution? What is the value of the triangle? Remember -- the sum of the degree measures of angles in any triangle equals degrees.

What is the ASA formula? The possible solutions depend on whether the given angle is acute or obtuse. 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.

When you are given two sides and an angle not in between those sides, you need to be on the lookout for the ambiguous case. To determine if there is a 2 nd valid angle: 1. See if you are given two sides and the angle not in between SSA. 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.

Is SSA congruent? How do you solve ambiguous problems? So you know this side and you know this side and we have an angle. We don't actually know whether it's a unique triangle. 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.

In this scenario, two possible triangles can be formed by swinging the side, but only one contains an angle of the given measure. To get one of the possible triangles, the lower endpoint of the swinging side swings past to the left of the vertex that connects the base and the fixed side so that the fixed angle is not included in the solution.

This creates a triangle that includes the supplement of the fixed angle, but not the fixed angle. Because this fixed angle is missing from the completed triangle, this possibility is not a viable solution.

Thus, there is only one solution when length is greater than length. If , at least two of the sides of the triangle will be the same length and the solution will be either an isosceles or equilateral triangle.

In the picture below, the swinging pink side forms two triangles. In summary, when , there is one solutions for a SSA configuration. Pay attention to the numerical values on the side. You'll notice that the number of solutions depends on the length of BE compared to the height. This activity will show the solutions for each of the scenarios when the swinging side length is changed.

Students will be able to physically see the different possible solutions given an SSA configuration. The applet was made by Reza. From Math Images. Jump to: navigation , search. This is a Helper Page for:.

Substituting the appropriate variables, Multiply both sides by to get. Category : Helper Pages. Navigation menu Personal tools Log in. Namespaces Page Discussion. Views Read View source View history. Sidebar Help. Browse images by Interaction Recent Changes Leave Feedback. This page was last edited on 19 July , at