Create a triangle on a sphere.[br][br]Explore the construction and learn how to create spherical triangles with [i][url=https://www.geogebra.org/3d]GeoGebra 3D Calculator[/url][/i]. Then try it yourself by following the instructions below.

[table][tr][td]1.[/td][td][/td][td]In the [i]Algebra [/i][i]View [/i]enter [math]A=(0,0,0)[/math] and the command [math]Sphere(A,1)[/math] into the [i]Input Bar[/i].[/td][/tr][tr][td]2.[/td][td][/td][td]Select the sphere in the [i]3D Graphics View[/i] and choose [img]https://wiki.geogebra.org/uploads/thumb/d/d5/Color_button.svg/16px-Color_button.svg.png[/img] [i]Color[/i] in the appearing [i]Style Bar [/i]to change the spheres color.[br][/td][/tr][tr][td]3.[/td][td][img]https://wiki.geogebra.org/uploads/thumb/d/d2/Ic_settings_black.svg/32px-Ic_settings_black.svg.png[/img][/td][td]Open the [i]Settings[/i] and deselect [i]Show Axes[/i] and [i]Show Plane [/i]to hide the axes and the plane.[/td][/tr][tr][td]4.[/td][td][/td][td]Switch to the [i]Tools [i]View[/i]. [/i][/td][/tr][tr][td]5.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_point.png[/icon][/td][td]Select the [i]Point [/i]tool and create three points [i]B[/i], [i]C [/i]and [i]D [/i]on the sphere. [/td][/tr][tr][td]6.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_circlearc3.png[/icon][/td][td]Use the [i]Circular Arc [/i]tool to first select center [i]A[/i] and then [i]B[/i] and [i]C[/i]. Repeat this step twice with the other points to create a spherical triangle (always select point [i]A [/i]first).[br][/td][/tr][tr][td]7.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/td][td]Use the [i]Move [/i]tool to drag the points on the sphere to explore your construction.[br][/td][/tr][/table]

If you're using [i]GeoGebra 3D Calculator [/i]on a mobile device you can switch to [i]AR mode[/i] to place your created math objects on any flat surface (e.g. table, floor, ...) around you and walk around them. Explore your constructions from a new perspective!