How to determine when you have two solutions for an oblique triangle

What is necessary for a triangle to have two solutions using the Law of Sines?

• Two sides and an opposing angle

• An obtuse angle and a side

• Three sides

• Two angles and a non-opposing side

How do you calculate the height (H) in a triangle when given an angle and side?

• H = a * cos(B)

• H = b * tan(A)

• H = a * sin(B)

• H = b * sin(A)

In the example provided, what is the calculated height (H) when angle A is 20.5 degrees and side B is 31?

• H = 31

• H = 20.5

• H = 10.85

• H = 15.5

Why can a triangle have two different configurations with the same angle?

• Because the angle can be acute or obtuse

• Because the triangle can be isosceles or equilateral

• Because the triangle can rotate like a hinge

• Because the angle can be acute or right

What should you look for to determine if a triangle problem has no solutions, one solution, or two solutions?

• The area of the triangle

• The type of triangle (isosceles, scalene, equilateral)

• The constraints given in the problem

• The number of angles provided