ASA triangle
Task
Construct a triangle for which two angles and their enclosed side are given (ASA).
Explore the construction below and learn how to construct such a triangle with GeoGebra Calculator Suite. Then try it yourself by following the instructions below.
Explore the construction...
Instructions
Note: If you're using the Mobile App make sure that the chosen Labeling option is New Points Only. You can change this by going to the Settings in the app's menu and then selecting General.
| 1. |  | Use the Slider tool to create a slider c with the interval 0 to 10 and the increment 0.1. Note: In the Mobile App you can change the name of the slider by selecting the slider and then the More button that opens the context menu. Hint: Change the value of the slider so that the value is not 0. |
| 2. |  | Select the Segment with Given Length tool and create a segment starting at point A with length c. |
| 3. |  | Select the Angle with Given Size tool and create an angle with size 45° at point A. Hint: Select first point B and then point A and make sure the angle has counterclockwise orientation. |
| 4. |  | Select the Ray tool and create a ray starting at point A through the new point B'. |
| 5. | | Select the Angle with Given Size tool and create an angle with size 55° at point B. Hint: Select first point A and then point B and make sure the angle has clockwise orientation this time. |
| 6. | | Select the Ray tool and create a ray starting at point B through the new point A'. |
Try it yourself...
| 7. |  | Select the Intersect tool and create the intersection point C of both rays. |
| 8. |  | Select the Polygon tool and create the Triangle ABC. |
| 9. |  | Select the Move tool and change the style of the rays to dashed and the colors of the objects. |
| 10. |  | Hide the points A' and B'. |