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Ambiguous Case Quizzes, Questions & Answers

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Top Trending Ambiguous Case Quizzes

Determining the Number of Possible Triangles (Ambiguous Case)

Determining The Number Of Possible Triangles (Ambiguous Case)

What happens when a triangle’s sides and angles don’t guarantee just one shape? In this quiz, you’ll explore the ambiguous case of the Law of Sines — where given measurements can form one triangle, two...

Questions: 20 | Attempts: 10 | Last updated: Dec 10, 2025

Sample Question 1
In △ABC, side a = 8, side b = 12, and angle A = 40°. How many triangles can be formed?

0

1

2

Infinitely many

Sample Question 2
In △ABC, side a = 5, side b = 10, and angle A = 40°. How many triangles can be formed?

0

1

2

Infinitely many

Sample Question 3
In △ABC, side a = 12, side b = 7, and angle A = 50°. How many triangles can be formed?

0

1

2

Infinitely many

Recent Ambiguous Case Quizzes

Solving for Angles and Sides in the Ambiguous Case

Ready to solve triangles when more than one solution exists? In this quiz, you’ll apply the Law of Sines to find missing angles and sides in ambiguous situations. You’ll calculate both possible angle measures, analyze...

Questions: 20 | Attempts: 10 | Last updated: Dec 10, 2025

Sample Question
In △ABC, side a = 10, side b = 9, and angle A = 40°. Find possible angle B.

35.4° or 144.6°

46.3° or 133.7°

53.1° or 126.9°

57.0° or 123.0°