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Pythagorean Theorem

ABC is a right triangle. On each side, we constructed a regular polygon of sides.
Find a relationship among the areas of the 3 polygons, and use the spreadsheet to verify.
  1. Change the size of ABC (by moving A, B, or C). Does your conclusion still hold?
  2. Change the polygon (by changing the value of ). Does your conclusion hold for any regular polygon of sides? Why or why not?