Ambiguous Case in Trigonometry

Last updated almost 7 years ago
10 questions
Note from the author:
This formative was created to help students understand why there is an ambiguous case when given the SSA information about a triangle as asked to solve the remaining parts.
1

What is the term for an angle that is less than 90o?

1

Using the diagram from above, the measure of Angle A is
Calculate b sin A when b = 9

1

In the diagram above, adjust a so that a < 4.5. How many complete triangles are formed?

1

In the diagram above, adjust a so that it is the same measure as your calculation for b sin A. How many triangles can be formed?

1

Adjust a so that it is larger than your measurement for b sin A but smaller than b. How many triangles are formed?

1

Adjust a so that it is larger than b. How many triangles are formed?

1

What is the term used for an angle whose measure is larger than 90o?

1

Adjust angle A so it is larger than 90 o. Adjust a so that it is smallerthan b. How many complete triangles can you form?

1

Continue with angle A larger than 90o. Adjust a so that it is larger than b. How many complete triangles can you form?

1

Complete the chart to summarize your findings.