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