Equilateral Triangle Construction
Explore the geometric properties of an equilateral triangle
Summarize the properties of an equilateral triangle before you start the construction.
Hint: If you are not familiar with the construction steps necessary for a rectangle construction, you might want to explore the applet below. Just use the buttons of the Navigation Bar in order to replay the construction steps.
Task
Construct an equilateral triangle that passes the Drag Test by following the construction steps provided below.
Try it yourself...
Construction steps
| 1. |  | Create segment AB. | 6. |  | Create the polygon ABC in counterclockwise direction. | |
| 2. |  | Construct a circle with center A through B. | 7. |  | Hide the two circles. | |
| 3. |  | Drag points A and B to check if the circle is connected to them. | 8. |  | Show the interior angles of the triangle by clicking inside the triangle. | |
| 4. | | Construct a circle with center B through A. | | Hint: If you get the exterior angles of your triangle, you probably created the polygon in clockwise direction. | ||
| 5. |  | Intersect both circles to get point C. | 9. |  | Apply the Drag Test to check if the construction is correct. |
File menu.