How to determine if you have 0,1 or 2 triangles for the ambiguous case

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Mathematics
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11th Grade - University
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Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the ambiguous case in triangle geometry?
A situation where a triangle has three equal sides
A scenario where a triangle has two right angles
A triangle with all angles less than 60 degrees
A case where a triangle can have one, two, or no solutions
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which law is used to solve for a missing angle in a triangle when given two sides and a non-included angle?
Law of Sines
Law of Cosines
Law of Tangents
Pythagorean Theorem
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean if the sine inverse of a calculated value results in an error?
The triangle is equilateral
The triangle is isosceles
The triangle is right-angled
No triangle can be formed
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Under what condition can two triangles exist in an ambiguous case?
When the triangle has a right angle
When all sides are equal
When the calculated angle and its supplement both fit within the triangle
When the sum of angles is exactly 180 degrees
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result if the sum of angles in a triangle is less than 180 degrees after calculating B prime?
No triangle exists
The triangle is equilateral
One triangle exists
Two triangles exist
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