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1. When solving a triangle in which we have a matching side and angle, we must analyze the given information to determine if a

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1. When solving a triangle in which we have a matching side and angle, we must analyze the given information to determine if a solution exists. If you are given the measures of two angles and one side (ASA), then the triangle is uniquely defined. However, if you are given two sides and an angle opposite one of those sides (SSA), the ambiguous case may occur. In the ambiguous case, there are three possible outcomes: No triangle exists that has the given measures One triangle exists that has the given measures Two triangles exist that have the given measures If we are given an acute ZA, side a, and side b, and the height of the triangle is h=bsin A, state the criteria needed for the following to happen: (2 marks) No triangles when... One triangle when.... Two triangles when... When given an obtuse ZA, side a, and side b, state the criteria needed for the following to happen: (1 mark) No triangles when... One triangle when...

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