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 instructions provided below.
Instructions
| 1. |  | Create segment AB. |
| 2. |  | Construct a circle with center A through B. |
| 3. |  | Drag points A and B to check if the circle is connected to them. |
| 4. | | Construct a circle with center B through A. |
| 5. |  | Intersect both circles to get point C. |
Instructions (continued)
| 6. |  | Create the polygon ABC in counterclockwise direction. |
| 7. |  | Hide the two circles. |
| 8. |  | Show the interior angles of the triangle by clicking inside the triangle. |
| | Hint: If you get the exterior angles of your triangle, you probably created the polygon in clockwise direction. | |
| 9. |  | Apply the Drag Test to check whether the construction is correct. |