How many triangles can be created?

You will be required to construct triangles from given information.
Part A.[br][icon]/images/ggb/toolbar/mode_segmentfixed.png[/icon]Draw line segment AB=10. [br][icon]/images/ggb/toolbar/mode_anglefixed.png[/icon]At A, construct an angle of 30 degrees. [br][icon]/images/ggb/toolbar/mode_ray.png[/icon]Construct a ray from A to B'.[br][icon]/images/ggb/toolbar/mode_circlepointradius.png[/icon]Using B as a center, draw an circle with a radius of 6.[br][icon]/images/ggb/toolbar/mode_intersect.png[/icon]Find a point(s) of intersection with the ray and circle. Label these C. [br][br]How many points of intersection are there? Therefore, how many different triangles ABC may be constructed?
Repeat the instructions. Each time, the radius changes.
B. Draw the circle with a radius of 5.[br]C. Draw the circle with a radius of 3.[br]D. Draw the circle with a radius of 12.[br][br]For each part, how many triangles are possible?
– Chris Skogsberg

Information: How many triangles can be created?