Construct a triangle given a side and two angles.
READ the instructions on the right and INTERACT with the GeoGebra applet below.
Given a side of 8 and angles of 45° and 60°.
Investigation Steps
Click on the 
icon to reset the diagram.
Be sure to show diagrams, explain why and make specific references to what happened when you constructed triangles.
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Was there only one triangle that could be constructed given those parts?
How do you know?
If 5 triangles were constructed with these same "givens", what would have to be true about these triangles?
Are there any side-lengths or angle-measures that would not work?
Certain combinations of sides and/or angles can be used as shortcuts to prove two triangles congruent. These are the conditions in which a triangle is determined.
List the combinations of sides and angles that do work, and explain why.
Then list those that don't work and explain why.
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