Ambiguous Case, how many triangles |#shorts

The video tutorial explains how to determine the number of triangles that can be formed based on the height and sides of a triangle. It covers conditions for no triangle, one triangle, and two triangles, using trigonometric principles to assess the relationships between the height, opposite side, and adjacent side.

What is the first step in determining the number of triangles that can be formed?

• Measure the angles of the triangle

• Draw a perpendicular line from the base to find the height

• Calculate the area of the triangle

• Identify the type of triangle

Under what condition will no triangle exist?

• When the opposite side is equal to the height

• When the opposite side is shorter than the height

• When the opposite side is longer than the adjacent side

• When the opposite side is equal to the adjacent side

If the opposite side is longer than the height but shorter than the adjacent side, how many triangles can be formed?

• Three triangles

• Two triangles

• One triangle

• No triangles

What happens when the opposite side is longer than the adjacent side?

• No triangle can be formed

• Only one triangle can be formed

• Two triangles can be formed

• Three triangles can be formed

Which of the following scenarios will result in two triangles being formed?

• Opposite side is longer than the adjacent side

• Opposite side is shorter than the height

• Opposite side is equal to the height

• Opposite side is longer than the height but shorter than the adjacent side