Shape 

Copyright David & Cynthia Thomas, 2009

 

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

                                                                                 

Focus

Construct a triangle given two sides and the included angle. 

Technologies

·        Straightedge-and-compass

·        The Geometers Sketchpad

References

·        Euclid’s Elements Proposition 4

·        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 1.9: Side-Angle-Side

 

Tasks

1.      Using both straightedge-and-compass and The Geometers Sketchpad, construct a triangle with sides and included angle indicated in Figure 1.9. 

2.      Explain and justify your constructions and the final result.