Shape 

Copyright David & Cynthia Thomas, 2009

 

More Triangle Recipes--Directed Activity: Angle-Angle-Side

                                                                              

Focus

Construct a triangle given two sides and the included angle. 

Technologies

·        Straightedge-and-compass

·        The Geometers Sketchpad

References

·        Euclid’s Elements

·        http://aleph0.clarku.edu/~djoyce/java/elements/bookI/propI4.html

·        Euclid of Alexandria

http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Euclid.html

Background

Figure 1.17: Angle-Angle-Side

 

Tasks

1.      Using the angles and segment in Figure 1.17, straightedge-and-compass, and The Geometers Sketchpad, construct a triangle using Angle-Angle-Side.   

2.      Using logic, justify your constructions and the final result.