Explore the applet below and follow the steps to learn [b]how to[/b] create a triangle in the [url=https://www.geogebra.org/geometry]GeoGebra Geometry App[/url], if two angles and their enclosed side are given.[br]
Construct a triangle for which two angles and their enclosed side are given (ASA).[br][u]Note[/u]: You might want to have a look at the example below before you start your own construction.
[list=1][*]Create a [icon]https://www.geogebra.org/images/ggb/toolbar/mode_slider.png[/icon] [i]Slider[/i] [i]c[/i] with the interval 0 to 10 and the increment 0.1. [/*][*]Create a [icon]https://www.geogebra.org/images/ggb/toolbar/mode_segmentfixed.png[/icon] [i]Segment[/i] starting at point [i]A[/i] with length [i]c[/i].[/*][*]Create a [icon]https://www.geogebra.org/images/ggb/toolbar/mode_slider.png[/icon] [i]Slider[/i] for angle [math]\alpha[/math] with the interval 0° to 180°. [/*][*]Create an [icon]https://www.geogebra.org/images/ggb/toolbar/mode_anglefixed.png[/icon][i] Angle with Size[/i] [math]\alpha[/math] at point [i]A[/i].[br][u]Note[/u]: Make sure the angle has counterclockwise orientation.[/*][*]Create a [icon]https://www.geogebra.org/images/ggb/toolbar/mode_ray.png[/icon] [i]Ray[/i] starting at point [i]A[/i] through the new point [i]B'[/i].[br][/*][*]Create a [icon]https://www.geogebra.org/images/ggb/toolbar/mode_slider.png[/icon] [i]Slider[/i] for angle [math]\beta[/math] with the interval 0° to 180°. [br][/*][*]Create an [icon]https://www.geogebra.org/images/ggb/toolbar/mode_anglefixed.png[/icon][i] Angle with Size[/i] [math]\beta[/math] at point [i]B.[/i] [br][u]Note[/u]: Make sure the angle has clockwise orientation this time.[/*][*]Create a [icon]https://www.geogebra.org/images/ggb/toolbar/mode_ray.png[/icon] [i]Ray[/i] starting at point [i]B[/i] through the new point [i]A'[/i].[br][/*][*]Create the [icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][i] Intersection Point[/i] [i]C[/i] of both rays.[br][/*][*]Create the [icon]https://www.geogebra.org/images/ggb/toolbar/mode_polygon.png[/icon][i]Triangle[/i] [i]ABC[/i].[br][/*][*]Use the [i]Style Bar[/i] in order to assign a different color to each slider. Then, match the color of the interior angles of the triangle with the color of the corresponding slider.[br][/*][*]Change the style of the rays to dashed.[/*][/list]