Construct a triangle for which two angles and their enclosed side are given (ASA).[br][br]Explore the construction below and learn how to construct such a triangle with [i][url=https://www.geogebra.org/calculator][i]GeoGebra Calculator Suite[/i][/url][/i]. Then try it yourself by following the instructions below.[br]
[b]Note:[/b] If you're using the Mobile App make sure that the chosen [i]Labeling[/i] option is [i]New Points Only[/i]. You can change this by going to the [i]Settings [/i]in the app's menu and then selecting [i]General.[/i][br][table][tr][td]1.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_slider.png[/icon][/td][td]Use the [i]Slider[/i] tool to create a slider [i]c[/i] with the interval 0 to 10 and the increment 0.1.[br][b]Note:[/b] In the Mobile App you can change the name of the slider by selecting the slider and then the [i]More [/i]button that opens the context menu.[br][b]Hint: [/b]Change the value of the slider so that the value is not 0.[/td][/tr][tr][td]2.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_segmentfixed.png[/icon][/td][td]Select the [i]Segment with Given Length[/i] tool and create a segment starting at point [i]A[/i] with length [i]c[/i].[/td][/tr][tr][td]3.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_anglefixed.png[/icon][/td][td]Select the [i]Angle with Given Size[/i] tool and create an angle with size 45° at point [i]A[/i]. [br][b]Hint: [/b]Select first point [i]B[/i] and then point [i]A[/i] and make sure the angle has counterclockwise orientation.[/td][/tr][tr][td]4.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_ray.png[/icon][/td][td]Select the [i]Ray[/i] tool and create a ray starting at point [i]A [/i]through the new point [i]B'.[/i][/td][/tr][tr][td]5.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_anglefixed.png[/icon][/td][td]Select the [i]Angle with Given Size[/i] tool and create an angle with size 55° at point [i]B[/i]. [br][b]Hint: [/b]Select first point [i]A[/i] and then point [i]B[/i] and make sure the angle has clockwise orientation this time.[b][br][/b][/td][/tr][tr][td]6.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_ray.png[/icon][/td][td]Select the [i]Ray[/i] tool and create a ray starting at point [i]B[/i] through the new point [i]A'[/i].[/td][/tr][/table]
[br][table][tr][td]7.[/td][td][icon]/images/ggb/toolbar/mode_intersect.png[/icon][/td][td]Select the [i]Intersect[/i] tool and create the intersection point [i]C[/i] of both rays.[/td][/tr][tr][td]8.[/td][td][icon]/images/ggb/toolbar/mode_polygon.png[/icon][/td][td]Select the [i]Polygon[/i] tool and create the Triangle [i]ABC[/i].[br][/td][/tr][tr][td]9.[/td][td][icon]/images/ggb/toolbar/mode_move.png[/icon][/td][td]Select the [i]Move[/i] tool and change the style of the rays to dashed and the colors of the objects.[/td][/tr][tr][td]10.[/td][td][icon]/images/ggb/toolbar/mode_showhideobject.png[/icon][/td][td]Hide the points [i]A'[/i] and [i]B'[/i].[/td][/tr][/table]