Investigating Geometry with GeoGebra

Henrico County Public Schools

Constructing triangles given two sides and an angle.

READ the instructions on the right and INTERACT with the GeoGebra applet below.

Sorry, the GeoGebra Applet could not be started. Please install Java 1.4 (or later) to use this page.

Investigation Steps

Click on the reset icon icon to reset the diagram.

Be sure to show diagrams, explain why and make specific references to what happened when you construct triangles.

Moving the sliders in this applet lets you construct a triangle by specifying two sides and an angle.

If such a triangle can be constructed, is it unique?

When B is 90°, why is the triangle unique?

How does this develop into the HL Theorem?

Remember, that experiments with specific triangles are not a substitute for a proof for all triangles.