# Side-Angle-Side

- Author:
- Herholdt Bezuidenhout

## SAS Illustrated

## SAS Explained

If two sides and the included angle of one triangle are congruent to the
corresponding parts of another triangle, the triangles are congruent.

**The "included angle" in SAS is the angle formed by the two sides of the triangle being used.**Below is an example how to construct this. If you change anything in the construction, just click on the arrows on the top right to restore the construction.## Example: Constructing SAS

## Steps in constructing SAS

Now you try to draw a triangle congruent to the previous one 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

- Use to draw segment AB and if you are requested to give the length type in 5
- Use to draw an angle at point A. (
**Hint:**Always click last on the point where you want the angle.) If requested for the angle size type in 35 degrees. Lastly you need to select clockwise or anti-clockwise. The direction of movement is from the line in a clockwise or anti-clockwise direction. - Use to draw a ray from point A through point B' that were created by the angle tool.
- Use to draw a circle at point A and if requested to enter a radius type in 8
- Use to place point C at the intersection of the ray and the circle
- Use to draw triangle ABC