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Proofing A Geometric Statement

  1. Sep 8, 2013 #1
    I've attached a picture that pertains to the query that I have. I have been able to show that each angle B is 60 degrees, but I am unsure as to how to show a is also a 60 degree angle. Isn't there some geometric theorem I could use?
     

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  3. Sep 8, 2013 #2
    Well, the sum of angles in a triangle.
     
  4. Sep 8, 2013 #3
    Well, I am first trying to prove that each object in the hexagon is a triangle. So, I can't use that fact.
     
  5. Sep 8, 2013 #4

    SteamKing

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    If the figure is closed and it's got three sides, it's a triangle. There's your proof.
     
  6. Sep 8, 2013 #5
    All right, so I know that each angle is equivalent to each other, when you consider one single triangle. Is this sufficient to show that it must be a equilateral triangle, or must I also so that each side has the same length?
     
  7. Sep 8, 2013 #6

    SteamKing

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    If you know that two interior angles of a triangle are both 60 degrees, then you can determine the third angle.

    If all interior angles are the same, IPSO FATSO, it's an equilateral triangle.
     
  8. Sep 8, 2013 #7

    Ray Vickson

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    What material have you studied so far? All the properties you need are standard, elementary geometry (but, unfortunately, sometimes that is not taught any more).
     
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