Construct an equilateral triangle that passes the [i]Drag Test[/i] by following the construction steps provided below.
[table][tr][td][size=100]1.[/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_segment.png[/icon][/size][/td][td][size=100]Create segment [i]AB[/i] by clicking twice into the [img]https://wiki.geogebra.org/uploads/thumb/a/af/Perspectives_geometry.svg/16px-Perspectives_geometry.svg.png[/img] [i]Graphics View[/i].[/size][/td][td][br][/td][td][size=100]6.[/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_polygon.png[/icon][/size][/td][td][size=100]Create the polygon [i]ABC[/i] in counterclockwise direction. To close the polygon select the first point again.[/size][/td][/tr][tr][td][size=100]2.[/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_circle2.png[/icon][/size][/td][td][size=100]Construct a circle with center [i]A[/i] through [i]B[/i] by selecting both points in this order.[br][/size][/td][td][br][/td][td][size=100]7.[/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_showhideobject.png[/icon][/size][/td][td][size=100]Hide the two circles by activating the [i]Show/Hide Object[/i] tool and selecting them. Confirm your selection by selecting the [i]Move[/i] tool.[/size][/td][/tr][tr][td][size=100]3.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/size][/td][td][size=100]Drag points [i]A[/i] and [i]B[/i] to check if the circle is connected to them.[/size][/td][td][br][/td][td][size=100]8.[/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_angle.png[/icon][/size][/td][td][size=100]Show the interior angles of the triangle by clicking inside the triangle.[/size][/td][/tr][tr][td][size=100]4.[/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_circle2.png[/icon][/size][/td][td][size=100]Construct a circle with center [i]B[/i] through [i]A[/i] by selecting both points in this order.[/size][/td][td][size=100][br][/size][/td][td][br][/td][td][size=100][/size][/td][td][size=100][b]Hint:[/b] If you get the exterior angles of your triangle, you probably created the polygon in clockwise direction.[/size][/td][/tr][tr][td][size=100]5.[/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_intersect.png[/icon][/size][/td][td][size=100]Intersect both circles by selecting them to get point [i]C[/i].[/size][/td][td][br][/td][td][size=100]9.[/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_move.png[/icon][/size][/td][td][size=100]Apply the [i]Drag Test[/i] to check if the construction is correct.[/size][/td][/tr][/table]