If two sides and the included angle of one triangle are congruent to the[br]corresponding parts of another triangle, the triangles are congruent.[br][br][b][color=#0000ff]The "included angle" in SAS is the angle formed by the two sides of the triangle being used.[/color][/b][br][br]Below is an example how to construct this. If you change anything in the[br]construction, just click on the arrows on the top right to restore the[br]construction.

[b][center][color=#ff0000]Now you try to draw a triangle congruent to the previous one[br][/color][br][color=#38761d]You need to draw a triangle with side AB=5cm, included angle CAB=35 degrees and side AC=8. Try to do this in the "Applet" below[/color][/center][color=#38761d][br][/color][/b][br][list=1][*]Use [icon]https://tube.geogebra.org/images/ggb/toolbar/mode_segmentfixed.png[/icon] to draw segment AB and if you are requested to give the length type in 5[/*][*]Use [icon]/images/ggb/toolbar/mode_anglefixed.png[/icon] to draw an angle at point A. ([color=#0000ff][b]Hint:[/b] Always click last on the point where you want the angle.[/color]) If requested for the angle size type in 35 degrees. Lastly you need to select clockwise or anti-clockwise. [color=#0000ff]The direction of movement is from the line in a clockwise or anti-clockwise direction.[/color][/*][*]Use [icon]/images/ggb/toolbar/mode_ray.png[/icon] to draw a ray from point A through point B' that were created by the angle tool.[/*][*]Use [icon]/images/ggb/toolbar/mode_circlepointradius.png[/icon] to draw a circle at point A and if requested to enter a radius type in 8[/*][*]Use [icon]/images/ggb/toolbar/mode_intersect.png[/icon] to place point C at the intersection of the ray and the circle[/*][*]Use [icon]/images/ggb/toolbar/mode_polygon.png[/icon] to draw triangle ABC[/*][/list]