Equilateral triangle
Task
Construct an equilateral triangle that passes the Drag Test by following the construction steps provided below.
Explore the construction...
Instructions
1. | | Create segment AB by clicking twice into the Graphics View. | 6. | | Create the polygon ABC in counterclockwise direction. To close the polygon select the first point again. | |
2. | | Construct a circle with center A through B by selecting both points in this order. | 7. | | Hide the two circles by activating the Show/Hide Object tool and selecting them. Confirm your selection by selecting the Move tool. | |
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 by selecting both points in this order. | | Hint: If you get the exterior angles of your triangle, you probably created the polygon in clockwise direction. | ||
5. | | Intersect both circles by selecting them to get point C. | 9. | | Apply the Drag Test to check if the construction is correct. |