Extensions and Questions to Ponder


  1. Use the Fermat GSP sketch to answer the following question.  Construct a circumcircle for triangle ABC'.  Can you find the same fermat point that we discovered in the proof on the main page.  If so, write your comments on a piece of paper, and sketch your drawing.

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  2. Use GSP to help you solve Fermat's problem for a triangle ABC with A > 120o, and a convex quadrangle ABCD.

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  3. Use GSP to help you show that if two points P, and P', inside a triangle ABC, are situated that angle CBP = PBP' = P'BA, angle ACP' = P'CP = PCB, then angle BP'P = PP'C.

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