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Thread: octagon

  1. #1 octagon 
    Join Date
    Apr 2012
    what is the relationship between the largest side and two smaller sides of the possible triangles in a regular octagon ie for a right angled triangle sin@=o/a. should there not be a similar conversion factor for the other triangle in an octagon ie ?@=o/a

    Last edited by fiveworlds; March 3rd, 2013 at 07:50 PM.
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  3. #2  
    Ophiolater Nehushtan's Avatar
    Join Date
    Feb 2013
    Do you mean dividing the octagon into 8 congruent isosceles triangles by joining the vertices to the centre?

    Let us consider the problem for a regular n-gon. The angle between the two equal sides of each triangle is radians; if is the length of each of the two equal sides, then the length of the third side is .

    For a regular octagon, so the length of the third side is .

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