Friday, August 17, 2012

Exploring Triangles

Triangle ACD and triangle BCD are equilateral triangles. 
This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com
Guillermo Bautista, Created with GeoGebra

Questions

  1. What can you say about triangle BCD and the red triangle? Move the slider confirm your answer.
  2. Change the shape of the triangle by moving point C, and use the slider to compare the triangles. Does your observation still hold?
  3. Make a conjecture about triangle ACE and triangle BCD
  4. Prove your conjecture. 
Snapshot

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